Dynamic behaviors for a model of predator-prey in the chemostat with microbial impulsive inputs

Shulin Sun, Yixia Zhang

Abstract


In this paper, on the basis of the theories and methods of ecology and differential equations, a model of predator-prey in the chemostat with microbial impulsive inputs is established. By using the theories of impulsive equations, small amplitude perturbation skills and comparison techniques, we get the conditions which guarantee the globally asymptotical stability of the prey and predator eradication periodic solution. At the same time, we also prove that the system is permanent if some parameters satisfy certain conditions. Finally, some numerical simulations are carried out to illustrate the influences of impulsive inputs on the dynamic behaviors of system.


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Published: 2016-03-10

How to Cite this Article:

Shulin Sun, Yixia Zhang, Dynamic behaviors for a model of predator-prey in the chemostat with microbial impulsive inputs, Communications in Mathematical Biology and Neuroscience, Vol 2016 (2016), Article ID 5

Copyright © 2016 Shulin Sun, Yixia Zhang. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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