cross-diffusion-driven instability in a reaction-diffusion harrison predator-prey model
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2013
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Abstract
We present a theoretical analysis of processes of pattern formation that involves organisms distribution and their interaction of spatially distributed population with cross-diffusion in a Harrison-type predator-prey model. We analyze the global behaviour of the model by establishing a Lyapunov function. We carry out the analytical study in detail and find out the certain conditions for Turing’s instability induced by cross-diffusion. And the numerical results reveal that, on increasing the value of the half capturing saturation constant, the sequences “spots → spot-stripe mixtures → stripes → hole-stripe mixtures → holes” are observed. The results show that the model dynamics exhibits complex pattern replication controlled by the cross-diffusion.
| Reference Key |
wang2013abstractcross-diffusion-driven
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|---|---|
| Authors | ;Xiaoqin Wang;Yongli Cai |
| Journal | science and technology of advanced materials |
| Year | 2013 |
| DOI |
10.1155/2013/306467
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| URL | |
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