Analysis of dynamics in a general intraguild predation model with intraspecific competition |
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| Authors: | Zhenzhen Li and Binxiang Dai |
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| Institution: | School of Mathematics and Statistics, Central South University, Changsha, Hunan 410083, P. R. China and School of Mathematics and Statistics, Central South University, Changsha, Hunan 410083, P. R. China |
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| Abstract: | This paper is devoted to studying the dynamical properties of a general intraguild predation model with intraspecific competition. We first investigate the stability of all possible equilibria in relation to the ecological parameters, and then study the long time behavior of the solution. Moreover, we provide a detailed analysis of dynamics of a IGP model with linear functional response and intraspecific competition. Our results show that the impact of the intraspecific competition essentially increases the dynamical complexity of the system. |
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| Keywords: | General IGP model intraspecific competition local and global stability asymptotic behavior |
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