Applied Mathematics

Volume 8, Issue 3 (March 2017)

ISSN Print: 2152-7385   ISSN Online: 2152-7393

Google-based Impact Factor: 0.58  Citations  

Existence of a Limit Cycle in an Intraguild Food Web Model with Holling Type II and Logistic Growth for the Common Prey

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DOI: 10.4236/am.2017.83030    1,548 Downloads   2,738 Views  Citations

ABSTRACT

In this paper, we prove the existence of a limit cycle for a given system of differential equations corresponding to an asymmetrical intraguild food web model with functional responses Holling type II for the middle and top predators and logistic grow for the (common) prey. The existence of such limit cycle is guaranteed, via the first Lyapunov coefficient and the Andronov-Hopf bifurcation theorem, under certain conditions for the parameters involved in the system.

Share and Cite:

Castillo-Santos, F. , Rosa, M. and Loreto-Hernández, I. (2017) Existence of a Limit Cycle in an Intraguild Food Web Model with Holling Type II and Logistic Growth for the Common Prey. Applied Mathematics, 8, 358-376. doi: 10.4236/am.2017.83030.

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