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Global bifurcation of solutions for a predator–prey model with prey‐taxis

Xiaoli Wang, Wendi Wang, Guohong Zhang

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Source: Crossref

Published: Feb 19, 2014

DOI: 10.1002/mma.3079

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Source abstract

We study pattern formations in a predator–prey model with prey‐taxis. It is proved that a branch of nonconstant solutions can bifurcate from the positive equilibrium only when the chemotactic is repulsive. Furthermore, we find the stable bifurcating solutions near the bifurcation point under suitable conditions. Copyright © 2014 John Wiley & Sons, Ltd.

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Global bifurcation of solutions for a predator–prey model with prey‐taxis — Mathematical Frontier Network