Travelling waves in the Holling–Tanner model with weak diffusion
نویسندگان
چکیده
منابع مشابه
Travelling waves in the Holling-Tanner model with weak diffusion.
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 ...
متن کاملTraveling 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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ژورنال
عنوان ژورنال: Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences
سال: 2015
ISSN: 1364-5021,1471-2946
DOI: 10.1098/rspa.2015.0045