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PubMed1990

Limit cycles in predator-prey models.

The general model of interaction between one predator and one prey is studied. A unimodal function of rate of growth of the prey and concave down functional response of the predator is assumed. In this work it is shown that for a given natural number n there exist models possessing at least 2n + 1 limit cycles. It is also proved, applying the Hopf bifurcation theorem, that a model exists with a logistic growth rate of the prey and concave down functional response that has at least two limit cycles.

Animals↗
PubMed1994

Predator-prey dynamics in models of prey dispersal in two-patch environments.

Models are presented for a single species that disperses between two patches of a heterogeneous environment with barriers between patches and a predator for which the dispersal between patches does not involve a barrier. Conditions are established for the existence, uniform persistence, and local and global stability of positive steady states. In particular, an example that demonstrates both the stabilizing and destabilizing effects of dispersion is presented. This example indicates that a stable migrating predator-prey system can be made unstable by changing the amount of migration in both directions.

Animals↗
PubMed1994

Chaos in one-predator, two-prey models: general results from bifurcation theory.

We show that chaos is the expected outcome of the dynamics of a class of one-predator, two-prey models. This generalizes results of previous studies of Lotka-Volterra models. We examine dynamics near a state in which a high codimension bifurcation occurs, considering all possible nearby dynamics in both parameter and state space by doing an unfolding analysis of the model's normal form. In this way, we argue that realistic predator-prey systems that can be closely modeled by the general models discussed here must exhibit chaotic dynamics.

Animals↗
PubMed1996

Spatially heterogeneous discrete waves in predator-prey communities over a patchy environment.

A model motivated by the earlier work of J. D. Murray and D. Stirzaker is proposed to describe the dynamics of predator-prey communities over a patchy environment. The model is a system of delay differential equations. It is shown that if only one time lag is incorporated into the model, then a branch of spatially homogeneous periodic solutions occur as a primary Hopf bifurcation. However, if two time lags are used to measure different delayed factors in the process of growth, decay, and predator consumption of the prey population, then stable spatially heterogeneous periodic solutions (discrete waves or phase-locked oscillations) may exist. The utilized method is based on center manifold, normal form, and equivariant Hopf bifurcation theory.

Animals↗
PubMed1985

Mouse killing, insect predation, and conspecific attack by rats with differing prior aggressive experience.

Mouse-killing, cockroach predation, and conspecific attack were examined in male Long-Evans rats with a history of intraspecific aggression (n = 20), defeat (n = 20), or no aggressive experience (n = 20). Roaches were more likely to be attacked during 30 min tests, and were attacked more rapidly than mice or rats regardless of previous social experience of subjects. Rats with aggressive experience attacked conspecifics more readily than subjects with defeat or no experience. There was no effect of prior experience on mouse-killing. These results indicate that mouse-killing does not correspond closely to either predation or intraspecific attack.

Aggression↗
PubMed1994

Influence of environmental enrichment and sex on predator stress response in rats.

Based on sex, rats were randomly assigned to either an enriched or standard environment for 30 days prior to behavioral testing. The predator stress testing consisted of placing the rat in a cat avoidance apparatus so that the rat's behavioral response to a natural stressor, the cat, could be assessed. The rats were subsequently exposed to a partial predator stimulus (cat urine) that was placed in the home cages for 7 days. Each animal was then sacrificed and the stomach, adrenal glands, and thymus gland were removed and assessed. Results indicated that 1) the enriched rats engaged in less defensive behavior than the standard rats during behavioral testing, 2) female rats demonstrated more defensive behavioral patterns compared to male rats, and 3) the enriched environment affected females more than males, as evidenced by the interaction effects on various recorded behaviors.

Adrenal Glands↗
PubMed1986

The effects of refuges on predator-prey interactions: a reconsideration.

Prey refuges are widely believed to prevent prey extinction and damp predator-prey oscillations. A review of the empirical evidence suggests that refuges are indeed capable of playing the former role. But the conditions under which they do so are not understood, nor is there any solid evidence for an effect on population fluctuations. The intuitive view that refuges act to stabilize equilibria and damp predator-prey oscillations is based in several theoretical studies of extremely simple models. Using a more realistic model, I show that several kinds of refuges can exert a locally destabilizing effect and create stable, large-amplitude oscillations which would damp out if no refuge was present. This finding contrasts sharply with the usual view. I argue that current evidence is tol weak, and the range of theoretically possible effects is too broad, to justify any simple characterization of refuge effects in nature. Manipulative empirical studies are an important first step toward correcting this situation, and I discuss some important factors to consider in their design.

Animals↗
PubMed1996

Predator-elicited flight responses in Swiss-Webster mice: an experimental model of panic attacks.

1. The nosological status of panic disorder is still a matter of debate. Nevertheless, evidence is emerging that panic attacks have a different pattern of drug responsiveness from other forms of anxiety. 2. Several experimental animal models of panic attacks have been developed. These vary in the extent to which they meet criteria for face validity, predictive validity and construct validity, normally applied to such models. 3. In the present review, the authors examine the possibility that predator-elicited flight responses in Swiss-Webster mice might serve as an experimental model for the screening of panic-modulating drugs. 4. Drug effects on flight responses clearly indicate that this model has good predictive validity as panic-promoting agents increase flight reactions, while panicolytic drug challenge induces opposite effects. In addition, drugs devoid of any effect on panic attack, also do not alter flight behavior. 5. These findings strongly suggest that the model of predator-elicited flight responses in Swiss-Webster mice is useful for the investigation of panic-modulating drugs.

Animals↗
PubMed1992

Global stability of prey-predator systems with predatory switching.

This paper deals with a complex prey-predator system, consisting of two prey species and two types of predator (dominant and mutant of the same species) with predatory switching. We derived conditions for existing polymorphism with respect to a switching property and found a condition for feasible equilibrium to be globally asymptotically stable. We have shown parameter regions for a stable and an unstable feasible equilibrium.

Animals↗
PubMed1996

Singular perturbation analysis of a model for a predator-prey system invaded by a parasite.

A model of the predator-prey dynamics, as modified by the action of a parasite, is considered in which the prey population is divided into two classes, the susceptible and the infective members. The predator population is assumed to be of a social type, and have very fast dynamics, with all of its members infected by the parasite. Analysis of the model is carried out through singular perturbation arguments which allow us to derive explicit conditions on the parameters that identify different dynamic behavior of the system, and specifically ascertain the existence of a limit cycle composed of a concatenation of catastrophic transitions occurring at different speeds.

Animals↗
PubMed1992

Influence of exposure period and management methods on the effectiveness of chickens as predators of ticks infesting cattle.

Experiments undertaken on Rusinga Island, Kenya, indicated that Rhipicephalus appendiculatus (Neumann) was the predominant tick consumed on tick-infested cattle by chickens, followed by Amblyomma variegatum (Fabricius), Boophilus decoloratus (Koch) and Rhipicephalus evertsi evertsi (Neumann). The number of ticks consumed by chickens released with cattle in a 3 h release period was not significantly different from ticks consumed in a 4 h release period. In a free management system, chickens 1-3 months of age consumed more ticks than older ones; in a confined management system however, chickens 4-6 months of age consumed more ticks than younger birds. Although the numbers of ticks consumed by local and exotic breeds of chickens were not significantly different, a period of 8-10 weeks was necessary for the exotic breeds to become behaviorally adapted to tick predation on cattle. Local chickens bred in environments where cattle were absent took a shorter period of 4-6 weeks to adapt. It was concluded that the relatively large number of ticks consumed by each chicken during the 3 or 4 h release period is an indication that a good reduction of ticks on cattle can be achieved through tick predation by chickens. The preponderance of R. appendiculatus over other tick species consumed was a reflection of its relative abundance on cattle on the island rather than a selective preference for tick species.

Animal Husbandry↗
PubMed2005

Further evidence for mirror-reversed laterality in lines of fish selected for leftward or rightward turning when facing a predator model.

In the teleost fish Girardinus falcatus eye preferences for inspecting a potential predator is highly heritable and this consented to select lines with opposed laterality. In previous studies individuals from a RD line (rightward turning when facing a dummy predator) and those from a LD line (leftward turning) were subjected to several other laterality tests (most of which, possibly all, were visually based). Since they obtained opposite scores in all tests, it was suggested that LD and RD fish have complete mirror-reversed organizations of the brain. Here, we studied fish from selected lines in a new set of laterality tests including some non-visual tests. They included measures of (1) rotational preference in the home tank (2) direction of spontaneous swimming in the dark (3) escape trajectories after delivery of an auditory stimulus (4) escape turning direction to a fast approaching visual stimulus. The results of the first three tests are congruent with the finding of previous studies in that fishes of the two lines showed opposite direction of lateralisation. When tested for laterality in the escape response to a fast approaching stimulus, fish of the LD and RD lines showed no differences and both were biased toward leftward escape. Overall these results suggest the existence in G. falcatus of a single mechanism controlling a co-ordinate placement of the great majority of lateralised functions. Yet the results of the fourth test suggest that a few lateralized functions are controlled by different mechanisms that were unaffected by artificial selection.

Acoustic Stimulation↗
PubMed2005

Genetic basis of phenotypic plasticity for predator-induced morphological defenses in anuran tadpole, Rana pirica, using cDNA subtraction and microarray analysis.

Anuran tadpoles (Rana pirica) are induced to develop a higher tail and a bulgy body as predator-specific morphological responses when they are exposed to predatory larval salamanders. Subtractive hybridization was performed using induced tadpole body skin and normal tadpoles' body skin. A total of 196 clones showed higher expression, and 104 clones showed lower expression, when they formed bulgy bodies. In the subtraction, carboxypeptidase B, trypsinogen, elastase I, fibrinogen, elastase II, triacyl-glycerol lipase, and alpha1-antitrypsin genes showed lower expression. In contrast, RT-like protein, bullous pemphigoid antigen, phosphoserine aminotransferase, uromodulin, tetranectin, chaperonin-like protein, zinc finger protein, osteonectin, aldehyde dehydrogenase, Sec 23A protein, and ribosomal protein showed higher gene expression. Microarray analysis was also performed using this subtracted cDNA (nine replicates). Results of the microarray data essentially corresponded with those of the subtraction data, and the degree of the suppressed genes was much stronger than that of the expressed genes. Carboxypeptidase B showed the strongest suppression, and its inhibition range was from 1/100 to 3/100 compared with that of control body skin. Strong suppression was also observed with trypsinogen, elastase I, fibrinogen, and elastase II as well. These results can be interpreted as increases of fibrinolysis by strong depression of both carboxypeptidase B and other genes simultaneously, resulting in the retention of blood vessels and facilitating the circulation of blood. Expression was observed in phosphoserine aminotransferase, aldehyde dehydrogenase, RT-related protein, chaperonin-like protein, tetranectin, bullous pemphigoid antigen, uromodulin, and Sec 23A protein. They were significantly (p<0.05) increased and were at least 1.5 times greater compared with the control. From the appearance, it seems that the bulgy shaped body is highly connecting to the bullous pemphigoid (BP) antigen that causes the skin blistering disorder, and tetranectin and uromodulin may be related to the extracell matrix through myogenesis, protein secretion, and ion transport, respectively. Since the RT-related protein gene derived from retrotransposon (L1) is known to disrupt mammalian transcriptomes, retrotransposon may be involved with phenotypic plasticity for morphological defense by Rana prica against predator threat.

Animals↗
PubMed2004

Changes in S100B cerebrospinal fluid levels of rats subjected to predator stress.

Predator stress is a type of psychogenic stress induced by an innate recognition of threat. S100B, a calcium-binding protein secreted by astrocytes, has been associated with neurotrophic or neurotoxic action in several neuropsychiatric disorders. It has been recently demonstrated that serum S100B levels in rats are increased after stress by immobilization [S. Scaccianoce, P. Del Bianco, G. Pannitteri, F. Passarelli, Relationship between stress and circulating levels of S100B protein, Brain Res. 1004 (2004) 208-11]. This study aimed to measure cerebrospinal fluid (CSF) S100B in rats after an acute stress situation, which is induced by exposure to a predator. S100B was measured in CSF and in hippocampal and cortical slices by ELISA. Forty-three male Wistar rats, aged 70 days, were randomly assigned to handled (control) or stressed groups (exposed to a cat for 5 min). CSF and brain tissue were removed 1 or 24 h after the procedures. Rats exposed to the cat demonstrated a biphasic change in CSF S100B levels. An increase was observed at 1 h after cat exposure, and a decrease was observed 24 h later, although this was not accompanied by changes in S100B content in hippocampus or cerebral cortex. The effectiveness of the stressor used was confirmed by increased freezing response (during cat exposure) and increased anxiety in the plus maze test (1 h after cat exposure). These results indicate that CSF S100B is changed by stress, reinforcing the possibility that this protein is involved in the adaptive response to stress and/or in secondary neuropsychiatric disorders.

Analysis of Variance↗
PubMed2004

Evolutionary tradeoff and equilibrium in an aquatic predator-prey system.

Due to the conventional distinction between ecological (rapid) and evolutionary (slow) timescales, ecological and population models have typically ignored the effects of evolution. Yet the potential for rapid evolutionary change has been recently established and may be critical to understanding how populations persist in changing environments. In this paper we examine the relationship between ecological and evolutionary dynamics, focusing on a well-studied experimental aquatic predator-prey system (Fussmann et al., 2000, Science, 290, 1358-1360; Shertzer et al., 2002, J. Anim. Ecol., 71, 802-815; Yoshida et al., 2003, Nature, 424, 303-306). Major properties of predator-prey cycles in this system are determined by ongoing evolutionary dynamics in the prey population. Under some conditions, however, the populations tend to apparently stable steady-state densities. These are the subject of the present paper. We examine a previously developed model for the system, to determine how evolution shapes properties of the equilibria, in particular the number and identity of coexisting prey genotypes. We then apply these results to explore how evolutionary dynamics can shape the responses of the system to 'management': externally imposed alterations in conditions. Specifically, we compare the behavior of the system including evolutionary dynamics, with predictions that would be made if the potential for rapid evolutionary change is neglected. Finally, we posit some simple experiments to verify our prediction that evolution can have significant qualitative effects on observed population-level responses to changing conditions.

Animals↗
PubMed2005

Regimes of biological invasion in a predator-prey system with the Allee effect.

Spatiotemporal dynamics of a predator-prey system is considered under the assumption that prey growth is damped by the strong Allee effect. Mathematically, the model consists of two coupled diffusion-reaction equations. The initial conditions are described by functions of finite support which corresponds to invasion of exotic species. By means of extensive numerical simulations, we identify the main scenarios of the system dynamics as related to biological invasion. We construct the maps in the parameter space of the system with different domains corresponding to different invasion regimes and show that the impact of the Allee effect essentially increases the system spatiotemporal complexity. In particular, we show that, as a result of the interplay between the Allee effect and predation, successful establishment of exotic species may not necessarily lead to geographical spread and geographical spread does not always enhance regional persistence of invading species.

Algorithms↗