Suebcharoen, T. 2017. Analysis of a Predator-Prey Model with Switching and Stage-Structure for Predator. International Journal of Differential Equations. Volume 2017, Article ID 2653124, 11 pages.
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Abstract: This paper studies the behavior of a predator-prey model with switching and stage-structure for predator. Bounded positive solution, equilibria, and stabilities are determined for the system of delay differential equation. By choosing the delay as a bifurcation parameter, it is shown that the positive equilibrium can be destabilized through a Hopf bifurcation. Some numerical simulations are also given to illustrate our results.
Keywords: predator, prey, differential equation, model, stage structure, switching, bifurcation, stability.
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