Artículo
Non-autonomous dynamics of a semi-Kolmogorov population model with periodic forcing
Autor/es | Caraballo Garrido, Tomás
Colucci, Renato Han, Xiaoying |
Departamento | Universidad de Sevilla. Departamento de Ecuaciones Diferenciales y Análisis Numérico |
Fecha de publicación | 2016-10 |
Fecha de depósito | 2016-09-12 |
Publicado en |
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Resumen | In this paper we study a semi-Kolmogorov type of population model, arising
from a predator-prey system with indirect effects. In particular we are interested in investigating the population dynamics when the indirect ... In this paper we study a semi-Kolmogorov type of population model, arising from a predator-prey system with indirect effects. In particular we are interested in investigating the population dynamics when the indirect effects are time dependent and periodic. We first prove the existence of a global pullback attractor. We then estimate the fractal dimension of the attractor, which is done for a subclass by using Leonov’s theorem and constructing a proper Lyapunov function. To have more insights about the dynamical behavior of the system we also study the coexistence of the three species. Numerical examples are provided to illustrate all the theoretical results. |
Identificador del proyecto | info:eu-repo/grantAgreement/MINECO/MTM2015-63723-P
2010/FQM314 P12-FQM-1492 |
Cita | Caraballo Garrido, T., Colucci, R. y Han, X. (2016). Non-autonomous dynamics of a semi-Kolmogorov population model with periodic forcing. Nonlinear Analysis: Real World Applications, 31, 661-680. |
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