Abstract
In this work, the effect of a host refuge on a host-parasitoid interaction is investigated. The model is built upon a modified Nicholson-Bailey system by assuming that in each generation a constant proportion of the host is free from parasitism. We derive a sufficient condition based on the model parameters for both populations to coexist. We prove that it is possible for the system to undergo a supercritical and then a subcritical Neimark-Sacker bifurcation or for the system only to exhibit a supercritical Neimark-Sacker bifurcation. It is illustrated numerically that a constant proportion of host refuge can stabilize the host-parasitoid interaction.
Original language | English |
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Pages (from-to) | 1713-1728 |
Number of pages | 16 |
Journal | Discrete and Continuous Dynamical Systems - Series B |
Volume | 21 |
Issue number | 6 |
DOIs | |
State | Published - Aug 2016 |
Keywords
- Host-parasitoid
- Neimark-Sacker bifurcation
- Spatial refuge
- Uniform persistence