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Positive periodic solution for a multispecies competition-predator system with Holling III functional response and time delays |
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| Authors: | Zuowei CaiLihong Huang Haibo Chen |
| Institution: | a College of Mathematics and Econometrics, Hunan University, Changsha, Hunan 410082, PR China b Hunan Womens University, Changsha, Hunan 410004, PR China c Department of Mathematics, Central South University, Changsha, Hunan 410075, PR China |
| Abstract: | In this paper, a delayed multispecies ecological competition-predator system with Holling-III functional response is studied. By using the continuation theorem of coincidence degree theory and constructing suitable Lyapunov functionals, some sufficient conditions are derived for the existence, uniqueness and global asymptotic stability of positive periodic solutions to the system. |
| Keywords: | Competition-predator system Time delays Holling-III functional response Periodic solution Mawhin&rsquo s continuous theorem Global asymptotic stability |
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