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《Journal of Nantong University(Natural Science Edition)》 2013-01
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Stability Analysis of a Holling-Tanner Predator-Prey Model with Diffusion

TANG Qiu-lin1,2,LI Li-li2,LU Cheng3(1.Xinglin College,Nantong University,Nantong 226007,China; 2.School of Sciences,Nantong University,Nantong 226007,China; 3.School of Electronics and Information,Nantong University,Nantong 226019,China)  
Diffusion problem of a modified Holling-Tanner predator-prey model is studied.Stability condition is obtained when diffusion is absent,and the effect on stability of positive equilibrium is studied when self-diffusion and cross-diffusion is present respectively.The results show that self-diffusion have no effect on the stability of the positive equilibrium,but cross-diffusion tend to change the stability of it.Finally,numerical simulations are presented.
【Fund】: 2012年国家级大学生创新训练计划项目(201210304005);; 江苏省高校自然科学研究项目(12KJB110018);; 南通大学杏林学院科研基金项目(2012K105)
【CateGory Index】: O175
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