Abstract

We discuss the permanence of the Lotka-Volterra model of three competing species with seasonal succession, which exhibits that populations experience an external periodically forced environment. Such a system can be viewed as a bridge between the concrete discrete-time competitive mappings and time periodically forced differential equations. By exploiting the carrying simplex theory for competitive dynamical systems, we present a comprehensive classification of permanence and impermanence based on inequalities involving the model parameters. The global dynamics in each permanent or impermanent class will be discussed. This is a joint work with Yi Wang and Xizhuang Xie.

Webex Link: https://nationaltaiwanuniversity-ksz.my.webex.com/nationaltaiwanuniversity-ksz.my/j.php?MTID=me295de5543138ba585f3fce40f6c0b0c

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Organizers: Chueh-Hsin Chang (CCU), Jia-Yuan Dai (NTHU), Bo-Chih Huang (CCU), Chih-Chiang Huang (CCU), Alejandro López-Nieto (NTU), Chang-Hong Wu (NYCU)