Effects of cannibalism on a basic stage structure |
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| Authors: | Yasuhisa Saito Changdo Jung |
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| Institution: | a Department of Mathematics, Pusan National University, Pusan 609 735, Republic of Korea
b Department of Mathematics, Kyungpook National University, Daegu 702 701, Republic of Korea |
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| Abstract: | In this paper, we discuss the effects of cannibalism on a basic stage-structured population model for a single species. A threshold condition for extinction versus persistence is obtained, and numerical simulations of the population dynamics are presented. These simulations suggest that cannibalism has a stabilizing effect on the population, promoting equilibrium of the adult population level. |
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| Keywords: | Cannibalism Basic stage structure Uniform persistence Permanence Liapunov-LaSalle theorem Stabilization |
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