Travelling waves in the Holling-Tanner model with weak diffusion.
نویسندگان
چکیده
For a wide range of parameters, we study travelling waves in a diffusive version of the Holling-Tanner predator-prey model from population dynamics. Fronts are constructed using geometric singular perturbation theory and the theory of rotated vector fields. We focus on the appearance of the fronts in various singular limits. In addition, periodic travelling waves of relaxation oscillation type are constructed using a recent generalization of the entry-exit function.
منابع مشابه
Traveling Waves in the Holling-tanner Model with Weak Diffusion
For wide range of parameters, we study traveling waves in a diffusive version of the Holling-Tanner predator-prey model from population dynamics. Fronts are constructed using geometric singular perturbation theory and the theory of rotated vector fields. We focus on the appearance of the fronts in various singular limits. In addition, periodic traveling waves of relaxation oscillation type are ...
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ورودعنوان ژورنال:
- Proceedings. Mathematical, physical, and engineering sciences
دوره 471 2177 شماره
صفحات -
تاریخ انتشار 2015