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A HOPF BIFURCATION OF MULTIDIMENSIONAL ATTRACTION-REPULSION CHEMOTAXIS SYSTEM WITH NONLINEAR SENSITIVE FUNCTIONS

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This paper is concerned with a multi-dimensional attraction-repulsion chemotaxis system with nonlinear sensitive functions. A corresponding free bound ary problem is derived, and proved the existence of stationary solutions and Hopf bifurcation which are essentially determined by the competition of attraction and repulsion.

Abstract

This paper is concerned with a multi-dimensional attraction-repulsion chemotaxis system with nonlinear sensitive functions. A corresponding free bound ary problem is derived, and proved the existence of stationary solutions and Hopf bifurcation which are essentially determined by the competition of attraction and repulsion.

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