The effect of fear on two predator-prey pairs linked by competition

Debasis Mukherjee

doi:10.61383/ejam.202534111

Authors

Debasis Mukherjee Department of Mathematics, Vivekananda College, Thakurpukur, Kolkata-700063, India

DOI:

https://doi.org/10.61383/ejam.202534111

Keywords:

linked predator-prey system, fear factor, stability, uniform persistence, bifurcation

Abstract

This paper presents a mathematical model examining the dynamics of a linked predator-prey system that incorporates fear. Here each predator consumes one prey only. and the preys are in competition. The nature of predation is of Holling type II. The principal results explore various aspects , including positivity, boundedness, local and global stability of the coexistence equilibrium point, uniform persistence and Hopf bifurcation. The numerical simulations support the theoretical findings, offering practical insights into the model's behaviour.

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