Canard Limit Cycle of the Holling-Tanner Model
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 ...
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This paper researches the accuracy of the Differential Transformation Method (DTM) for solving the Holling Tanner models which are described as two-dimensional system of ODES with quadratic and rational nonlinearities. Numerical results are compared to those obtained by the fourth-order Runge-Kutta method to illustrate the preciseness and effectiveness of the proposed method. The direct symboli...
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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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A diffusive Holling–Tanner predator–prey model with no-flux boundary condition is considered, and it is proved that the unique constant equilibrium is globally asymptotically stable under a new simpler parameter condition. © 2011 Elsevier Ltd. All rights reserved.
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We present a theoretical analysis of the processes of pattern formation that involves organisms distribution and their interaction of spatially distributed population with selfas well as crossdiffusion in a Holling-Tanner predator-prey model; the sufficient conditions for the Turing instability with zero-flux boundary conditions are obtained; Hopf and Turing bifurcation in a spatial domain is p...
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ژورنال
عنوان ژورنال: Discrete Dynamics in Nature and Society
سال: 2014
ISSN: 1026-0226,1607-887X
DOI: 10.1155/2014/856475