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STATIONARY PATTERNS FOR A PREDATOR-PREY MODEL WITH HOLLING TYPE III RESPONSE FUNCTION AND CROSS-DIFFUSION
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 Title & Authors
STATIONARY PATTERNS FOR A PREDATOR-PREY MODEL WITH HOLLING TYPE III RESPONSE FUNCTION AND CROSS-DIFFUSION
Liu, Jia; Lin, Zhigui;
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 Abstract
This paper deals with a predator-prey model with Holling type III response function and cross-diffusion subject to the homogeneous Neumann boundary condition. We first give a priori estimates (positive upper and lower bounds) of positive steady states. Then the non-existence and existence results of non-constant positive steady states are given as the cross-diffusion coefficient is varied, which means that stationary patterns arise from cross-diffusion.
 Keywords
predator-prey model;stationary patterns;existence;
 Language
English
 Cited by
1.
Cross-diffusion induced instability and pattern formation for a Holling type-II predator–prey model, Applied Mathematics and Computation, 2014, 247, 1  crossref(new windwow)
2.
Effect of Time Delay on Spatial Patterns in a Airal Infection Model with Diffusion, Mathematical Modelling and Analysis, 2016, 21, 2, 143  crossref(new windwow)
3.
Cross-diffusion induced stationary patterns in a prey–predator system with parental care for predators, Applied Mathematics and Computation, 2014, 237, 176  crossref(new windwow)
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