Birds, rabbits and cats interaction model with switching strategy of opportunistic cats

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

We studied a switching mathematical model for the interaction of prey (bird), mesopredator (rabbit) and superpredator (cat). Bird and rabbit population are more prone to cat population at higher densities. The stability analysis is carried out for seven equilibrium values. We find out conditions under which these three species co-exist and discuss the way to save bird population. The theoretical results are compared with the numerical results for a set of values.

Original languageEnglish
Title of host publicationProceedings of the IASTED International Conference on Modelling and Simulation
Pages172-177
Number of pages6
Publication statusPublished - 2008
Event19th IASTED International Conference on Modelling and Simulation, MS 2008 - Quebec City, QC, Canada
Duration: May 26 2008May 28 2008

Other

Other19th IASTED International Conference on Modelling and Simulation, MS 2008
CountryCanada
CityQuebec City, QC
Period5/26/085/28/08

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Keywords

  • Control strategies
  • Predator
  • Prey
  • Stability
  • Switching

ASJC Scopus subject areas

  • Computer Science Applications
  • Software
  • Modelling and Simulation

Cite this

Khan, Q. J. A., & Al-Lawatia, M. A. (2008). Birds, rabbits and cats interaction model with switching strategy of opportunistic cats. In Proceedings of the IASTED International Conference on Modelling and Simulation (pp. 172-177)