Switching effect of predation on prey species living in two habitats with group defense capability

Bal Bhatt*, Qamar Khan, Rameshwar Jaju

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

Abstract

Mathematical model with one prey species with group defense capability living in two different habitats and a predator has been studied. The preys are able to migrate between two different habitats due to change in environmental conditions. The stability analysis of non zero equilibrium values has been carried out. Hopf bifurcation points have been determined using rate of conversion of the prey to predator as bifurcation parameter. It has been found that for one predatory rate, the Hopf bifurcation does not occur whereas for another predatory rate, the Hopf bifurcation does occur.

Original languageEnglish
Pages (from-to)2277-2283
Number of pages7
JournalWSEAS Transactions on Systems
Volume4
Issue number12
Publication statusPublished - Dec 2005

Keywords

  • Bifurcation point
  • Predator
  • Prey
  • Stability
  • Switching

ASJC Scopus subject areas

  • Computer Science Applications
  • Control and Systems Engineering

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