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All Journal Indonesian Journal of Mathematics and Applications Hilbert Journal of Mathematical Analysis
Babu, Raveendra
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Dynamics of Interaction of One Prey and Two Competing Predators with Population Heterogeneity Babu, Raveendra; Wani, Imtiyaz Ahmad
Indonesian Journal of Mathematics and Applications Vol. 2 No. 2 (2024): Indonesian Journal of Mathematics and Applications (IJMA)
Publisher : Universitas Brawijaya

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.21776/ub.ijma.2024.002.02.2

Abstract

A mathematical model of two predators competing for a single prey system incorporating population heterogeneity has been proposed and analyzed by extending the system of coupled logistic equations for three species system. The local stability analysis of all the equilibria has been carried out and also globally stable in Varies 2-D planes. Through the analytical results, it is observed that the interior equilibrium of one prey and two competing predators in prey dependent case is always unstable. At the end, discussed the dynamical behavior of a three species interaction with the help of some numerical examples by using MATLAB to support the analytical presentations.
Mathematical Study of One Prey and Two Competing Predators Considering Beddington-DeAngelis Functional Response with Distributed Delay Babu, Raveendra; Gayathri P.
Hilbert Journal of Mathematical Analysis Vol. 2 No. 1 (2023): Hilbert J. Math. Anal.
Publisher : KOMUNITAS Analisis Matematika INDONESIA

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.62918/hjma.v2i1.14

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.
Dynamics of Interaction of One Prey and Two Competing Predators with Population Heterogeneity Babu, Raveendra; Wani, Imtiyaz Ahmad
Indonesian Journal of Mathematics and Applications Vol. 2 No. 2 (2024): Indonesian Journal of Mathematics and Applications
Publisher : Universitas Brawijaya

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.21776/ub.ijma.2024.002.02.2

Abstract

A mathematical model of two predators competing for a single prey system incorporating population heterogeneity has been proposed and analyzed by extending the system of coupled logistic equations for three species system. The local stability analysis of all the equilibria has been carried out and also globally stable in Varies 2-D planes. Through the analytical results, it is observed that the interior equilibrium of one prey and two competing predators in prey dependent case is always unstable. At the end, discussed the dynamical behavior of a three species interaction with the help of some numerical examples by using MATLAB to support the analytical presentations.
Co-Authors Gayathri P. Wani, Imtiyaz Ahmad