Effects of Optimal Antipredator Behavior of Prey on Predator Prey Dynamics : The Role of Refuges

The influence of optimal antipredator behavior of prey on predator prey dynamics in a twopatch environment is studied. One patch represents an open habitat while the other is a refuge for prey. It is assumed that prey maximize their fitness measured by the instantaneous per capita growth rate. In each patch population dynamics is described by the Lotka Volterra time continuous model. The refuge is characterized by its protectiveness which is inversely related to the predation risk for prey, and the dependence of population dynamics on protectiveness is studied. It is shown that adaptive behavior of prey changes qualitative properties of the underlying Lotka Volterra model due to the appearance of a bounded attractor. Adaptive prey behavior does not lead to a stable equilibrium but to the reduction of population fluctuations. Dynamic consequences of a limited carrying capacity of the refuge are also considered. Low refuge carrying capacity leads to stability of predator prey dynamics while stability is lost when the carrying capacity of the refuge is high. Lastly, it is shown that optimal antipredator behavior of prey leads to persistence and reduction of oscillations in population densities. ] 1998 Academic Press

[1]  S. L. Lima,et al.  Behavioral decisions made under the risk of predation: a review and prospectus , 1990 .

[2]  Robert D. Holt,et al.  Prey communities in patchy environments , 1987 .

[3]  R. Holt.  Population dynamics in two-patch environments: Some anomalous consequences of an optimal habitat distribution , 1985 .

[4]  J. F. Gilliam,et al.  Predation as an Agent of Population Fragmentation in a Tropical Watershed , 1995 .

[5]  W. Murdoch,et al.  Predation and Population Stability , 1975 .

[6]  A. Sih.  Antipredator Responses and the Perception of Danger by Mosquito Larvae , 1986 .

[7]  John B. Collings,et al.  Bifurcation and stability analysis of a temperature-dependent mite predator-prey interaction model incorporating a prey refuge , 1995 .

[8]  J. F. Gilliam,et al.  Habitat Selection Under Predation Hazard: Test of a Model with Foraging Minnows. , 1987, Ecology.

[9]  Robert D. Holt,et al.  Optimal Foraging and the Form of the Predator Isocline , 1983, The American Naturalist.

[10]  G. Ruxton,et al.  Short Term Refuge Use and Stability of Predator-Prey Models , 1995 .

[11]  J. F. Gilliam,et al.  Resource Depletion and Habitat Segregation by Competitors Under Predation Hazard , 1988 .

[12]  Vlastimil Krivan,et al.  Dynamic Ideal Free Distribution: Effects of Optimal Patch Choice on Predator-Prey Dynamics , 1997, The American Naturalist.

[13]  M. Hassell.  The dynamics of arthropod predator-prey systems. , 1979, Monographs in population biology.

[14]  J. McNair,et al.  The effects of refuges on predator-prey interactions: a reconsideration. , 1986, Theoretical population biology.

[15]  R. May,et al.  STABILITY IN INSECT HOST-PARASITE MODELS , 1973 .

[16]  Anthony R. Ives,et al.  Antipredator Behavior and the Population Dynamics of Simple Predator-Prey Systems , 1987, The American Naturalist.

[17]  J. F. Gilliam,et al.  Nonlethal Impacts of Predator Invasion: Facultative Suppression of Growth and Reproduction , 1992 .

[18]  William W. Murdoch,et al.  Regulation of an Insect Population Under Biological Control , 1995 .

[19]  W. Murdoch,et al.  Refuge Dynamics and Metapopulation Dynamics: An Experimental Test , 1996, The American Naturalist.

[20]  Andrew Sih,et al.  Prey refuges and predator prey stability , 1987 .

[21]  A Sih,et al.  Optimal behavior: can foragers balance two conflicting demands? , 1980, Science.

[22]  S. Diehl,et al.  Effects of Piscivore‐Mediated Habitat Use on Resources, Diet, and Growth of Perch , 1995 .

[23]  Selective strategies in food webs , 1993 .

[24]  H. Comins,et al.  Prey-predator models in spatially heterogeneous environments. , 1974, Journal of theoretical biology.

[25]  R. Macarthur,et al.  Graphical Representation and Stability Conditions of Predator-Prey Interactions , 1963, The American Naturalist.

[26]  J B Collings,et al.  Bifurcation and stability analysis of a temperature-dependent mite predator-prey interaction model incorporating a prey refuge , 1995, Bulletin of mathematical biology.

[27]  E. Werner,et al.  THE ONTOGENETIC NICHE AND SPECIES INTERACTIONS IN SIZE-STRUCTURED POPULATIONS , 1984 .