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NCTS Webinar on Nonlinear Evolutionary Dynamics
13:30 - 15:00, November 22, 2023 (Wednesday)
Cisco Webex, Online seminar
(線上演講 Cisco Webex)
Existence and Stability of Spike Pattern in a Three-component Food Chain Model
Shuangquan Xie (Hunan University)


​In this talk, we investigate the profile and stability of spiky solutions in a three-component food chain model with small diffusion rates for predators. The conditions for the existence of a stable positive solution (coexistence of three species) consisting of spikes in the first and second predators are provided with a hybrid of numerical and asymptotical methods. We show that when the consuming rate is high enough, the second predator can survive, and further increasing the consuming rate leads to the Hopf bifurcation, which induces the oscillations of spikes in the positions.

WebEx Link: https://nationaltaiwanuniversity-ksz.my.webex.com/nationaltaiwanuniversity-ksz.my/j.php?MTID=mdb776a49cb92e711284d2f83b63e8ff8

Meeting number (access code): 2519 446 4834
Meeting password: X2uXTpJpJ57


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