Mathematical Study of One Prey and Two Competing Predators Considering Beddington-DeAngelis Functional Response with Distributed Delay

Raveendra  Babu; Gayathri P.

doi:10.62918/hjma.v2i1.14

Authors

Raveendra Babu Prestige Institute of Management and Research, Gwalior
Gayathri P.

DOI:

https://doi.org/10.62918/hjma.v2i1.14

Keywords:

prey-predator, stability, variational matrix, distributed delay

Abstract

A nonlinear prey predator model is suggested and discussed to analyze the one prey and two competing predators considering Beddington-DeAngelis functional response with distributed delay. The analysis of stability of models is executed and the sufficient controls and suitable rules have been discussed for populations with the Beddington-DeAngelis functional response with distributed delay. All the feasible equilibria are observed and carried out for the stability rules. In the study, it has been observed that without delay at certain level of values the system would be stable. Additionally, we have supported our analytical conclusions with numerical visualisations.

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