title: Behavioral refuges and predator-prey coexistence.
abstract: The effects of a behavioral refuge caused either by the predator optimal foraging or prey adaptive antipredator behavior on the Gause predator-prey model are studied. It is shown that both of these mechanisms promote predator-prey coexistence either at an equilibrium, or along a limit cycle. Adaptive prey refuge use leads to hysteresis in prey antipredator behavior which allows predator-prey coexistence along a limit cycle. Similarly, optimal predator foraging leads to sigmoidal functional responses with a potential to stabilize predator-prey population dynamics at an equilibrium, or along a limit cycle.
authors.affiliation: Institute of Entomology, Biology Center, Academy of Sciences of the Czech Republic, Branišovská 31, 370 05 České Budějovice, Czech Republic; Department of Mathematics and Biomathematics, Faculty of Science, University of South Bohemia, Branišovská 31, 370 05 České Budějovice, Czech Republic. Electronic address: vlastimil.krivan@gmail.com.
authors.forename: Vlastimil
authors.initials: V
authors.lastname: Křivan
mesh_terms: D063147:Animal Distribution; D000818:Animals; D017753:Ecosystem; D005247:Feeding Behavior; D008954:Models, Biological; D011157:Population Dynamics; D011235:Predatory Behavior
keywords: Functional response; Hysteresis; Lotka–Volterra model; Population dynamics; Switching