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Asymptotic behaviors of competitive Lotka-Volterra system with stage structure |
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| Authors: | Shengqiang Liu Lansun ChenYoulin Jiang |
| Institution: | a Academy of Mathematics and System Sciences, Academia Sinica, Beijing, 100080, People's Republic of China b Department of Mathematics, Guangxi Normal University, 541004, People's Republic of China c Yulin Teacher's College, Yulin, Guangxi Province, People's Republic of China |
| Abstract: | In this paper, a two-species competitive model with stage structure is presented and studied. Results on the global extinction and permanence are given, which generalize the well-known three theorems for the two species competitive system and, moreover, they confirm the negative effect of stage structure on the permanence of populations as well as estimate the degree of such effect. Conclusions in this paper suggest that for a competitive community stage structure is also one of the important reasons that cause permanence and extinction. |
| Keywords: | Lotka-Volterra Competitive Stage structure Time delay Extinction Permanence |
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