Abstract
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.
| Original language | English |
|---|---|
| Article number | 012010 |
| Journal | Journal of Physics: Conference Series |
| Volume | 1562 |
| Issue number | 1 |
| DOIs | |
| Publication status | Published - 24 Jun 2020 |
| Event | 15th International Symposium on Geometric Function Theory and Applications, GFTA 2019 - Malang, Indonesia Duration: 4 Nov 2019 → 5 Nov 2019 |
UN SDGs
This output contributes to the following UN Sustainable Development Goals (SDGs)
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SDG 15 Life on Land
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