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This paper discusses a predator-prey system with Holling-(n+1) functional response and the fractional type nonlinear diffusion term in a bounded domain under homogeneousNeumann boundary condition. The existence and nonexistence results concerning nonconstantpositive steady states of the system were obtained. In particular, we prove that the positive constant solution (u~,v~) is asymptotically stable when the parameter k satisfies some conditions

journal of applied mathematics

Positive Steady States of a Strongly Coupled Predator-Prey System with Holling-(<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="M1"><mml:mi>n</mml:mi><mml:mo>+</mml:mo><mml:mn>1</mml:mn></mml:math>) Functional Response

Positive Steady States of a Strongly Coupled Predator-Prey System with Holling-(n+1) Functional Response