A two-patch prey-predator model with predator dispersal driven by the predation strength

Yun Kang, Sourav Kumar Sasmal, Komi Messan

Research output: Research - peer-reviewArticle

Abstract

Foraging movements of predator play an important role in pop- ulation dynamics of prey-predator systems, which have been considered as mechanisms that contribute to spatial self-organization of prey and predator. In nature, there are many examples of prey-predator interactions where prey is immobile while predator disperses between patches non-randomly through different factors such as stimuli following the encounter of a prey. In this work, we formulate a Rosenzweig-MacArthur prey-predator two patch model with mobility only in predator and the assumption that predators move towards patches with more concentrated prey-predator interactions. We provide com- pleted local and global analysis of our model. Our analytical results combined with bifurcation diagrams suggest that: (1) dispersal may stabilize or destabi- lize the coupled system; (2) dispersal may generate multiple interior equilibria that lead to rich bistable dynamics or may destroy interior equilibria that lead to the extinction of predator in one patch or both patches; (3) Under certain conditions, the large dispersal can promote the permanence of the system. In addition, we compare the dynamics of our model to the classic two patch model to obtain a better understanding how different dispersal strategies may have different impacts on the dynamics and spatial patterns.

LanguageEnglish (US)
Pages843-880
Number of pages38
JournalMathematical Biosciences and Engineering
Volume14
Issue number4
DOIs
StatePublished - Aug 1 2017

Fingerprint

Prey-predator Model
Predator
Patch
predation
predators
Population Dynamics
Model
Prey-predator
Prey
Interior
Interaction
predator-prey relationships
Predator prey systems
Population dynamics
Prey-predator System
Global Analysis
Foraging
Permanence
Spatial Pattern
Bifurcation Diagram

Keywords

  • Dispersal
  • Non-random foraging movements
  • Persistence
  • Rosenzweig-MacArthur prey-predator model
  • Self-organization effects

ASJC Scopus subject areas

  • Medicine(all)
  • Modeling and Simulation
  • Agricultural and Biological Sciences(all)
  • Computational Mathematics
  • Applied Mathematics

Cite this

A two-patch prey-predator model with predator dispersal driven by the predation strength. / Kang, Yun; Sasmal, Sourav Kumar; Messan, Komi.

In: Mathematical Biosciences and Engineering, Vol. 14, No. 4, 01.08.2017, p. 843-880.

Research output: Research - peer-reviewArticle

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