A predatory commensalism model in a deterministic and a stochastic environment

Pallav Jyoti Pal, Mainul Haque, Tapan Saha, Kimun Ryu

Research output: Journal PublicationArticlepeer-review

1 Citation (Scopus)

Abstract

In the current paper, we propose a two-prey-one-predator system with Holling type II predation functional response where prey species consumes the remains of the other prey species' carcass given by their predator. Mathematical analysis of the proposed model equations with regard to non-negative invariance including stability and bifurcation are carried out. Next, we extend the deterministic system to a stochastic system by incorpo- rating the Gaussian white noise terms in the growth equations of both prey and predator species. We determine fluctuation intensities for the stochastic dynamical system by using Laplace methods. Numerical simulations are exhibited to justify the analytical findings.

Original languageEnglish
Pages (from-to)1-32
Number of pages32
JournalDynamics of Continuous, Discrete and Impulsive Systems Series B: Applications and Algorithms
Volume20
Issue number1
Publication statusPublished - 2013
Externally publishedYes

Keywords

  • Boundedness
  • Commensalism
  • Fluctuation intensity
  • Global stability
  • HOPF bifur- cation
  • Permanence
  • Predator-prey model
  • White noise

ASJC Scopus subject areas

  • Discrete Mathematics and Combinatorics
  • Applied Mathematics

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