Positive periodic solutions for the neutral ratio-dependent predator–prey model☆

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Abstract

By using a continuation theorem based on coincidence degree theory, we obtain some new sufficient conditions for the existence of positive periodic solutions for the neutral ratio-dependent predator–prey model with Holling type II functional response.

Keywords

Predator–prey model
Ratio-dependent
Periodic solution
Neutral
Coincidence degree

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☆

This work is supported by the National Sciences Foundation of China (11071283), the Sciences Foundation of Shanxi (2009011005-3) and the Major Subject Foundation of Shanxi (20091028).

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