Open AccessDynamics of Two Preys – One Predator System with Competition between Preys
Author(s) -
Dian Savitri,
Agus Suryanto,
Wuryansari Muharini Kusumawinahyu,
Abadi Abadi
Publication year - 2020
Publication title -
journal of physics. conference series
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 85
eISSN - 1742-6596
pISSN - 1742-6588
DOI - 10.1088/1742-6596/1562/1/012010
Subject(s) - hopf bifurcation , equilibrium point , mathematics , predation , predator , stability (learning theory) , bistability , competition (biology) , bifurcation , statistical physics , control theory (sociology) , mathematical economics , nonlinear system , ecology , mathematical analysis , computer science , physics , biology , artificial intelligence , control (management) , quantum mechanics , machine learning , differential equation
We study the dynamics of two preys – one predator interaction with competition between prey populations. The proposed model is developed from the Lotka-Volterra predator-prey model. We first discuss some fundamental issues such as equilibrium points and the stability of each equilibrium point. The analysis shows that there are seven equilibrium points and some of them are conditionally locally asymptotically stable. The dynamical behavior of the proposed model is then verified numerically. We also observe numerically the occurrence of bistability, as well as a Hopf bifurcation which is driven by the conversion rate of predation into the predator growth rate.