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Intra-Specific Competition in Prey Can Control Chaos in a Prey-Predator Model

  • Md Saifuddin
  • Santanu Biswas
Conference paper
Part of the Springer Proceedings in Complexity book series (SPCOM)

Abstract

In this article, we propose a general prey-predator model with the presence of Allee effect in prey. We have considered different competition coefficients within the prey population, which leads to the emergent carrying capacity. The stability analysis of the system is discussed. Further, the dynamical behavior of the system is analyzed, taking delay and emergent carrying capacity as bifurcation parameters. Time delay can turn a stable equilibrium into an unstable one. It was shown that our system experiences the Hopf bifurcation, as the delay parameter crosses some critical values. Further increases in delay produce chaos, which can be controlled by the emergent carrying capacity.

Keywords

The Allee effect Delay Stability analysis Eco-epidemiological system 

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Copyright information

© Springer Nature Switzerland AG 2020

Authors and Affiliations

  • Md Saifuddin
    • 1
  • Santanu Biswas
    • 2
  1. 1.Department of MathematicsBidhan Chandra CollegeHooghlyIndia
  2. 2.Department of MathematicsAdamas UniversityBarasatIndia

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