Article
Semi-Kolmogorov models for predation with indirect effects in random environments
Author/s | Caraballo Garrido, Tomás
Colucci, Renato |
Department | Universidad de Sevilla. Departamento de Ecuaciones Diferenciales y Análisis Numérico |
Publication Date | 2016-09 |
Deposit Date | 2016-09-12 |
Published in |
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Abstract | In this work we study semi-Kolmogorov models for predation with both the carrying capacities and the indirect effects varying with respect to randomly fluctuating environments. In particular, we consider one random ... In this work we study semi-Kolmogorov models for predation with both the carrying capacities and the indirect effects varying with respect to randomly fluctuating environments. In particular, we consider one random semi-Kolmogorov system involving random and essentially bounded parameters, and one stochastic semi-Kolmogorov system involving white noise and stochastic parameters defined upon a continuous-time Markov chain. For both systems we investigate the existence and uniqueness of solutions, as well as positiveness and boundedness of solutions. For the random semi-Kolmogorov system we also obtain sufficient conditions for the existence of a global random attractor. |
Project ID. | info:eu-repo/grantAgreement/MINECO/MTM2015-63723-P
2010/FQM314 P12-FQM-1492 |
Citation | Caraballo Garrido, T. y Colucci, R. (2016). Semi-Kolmogorov models for predation with indirect effects in random environments. Discrete and Continuous Dynamical Systems - Series B, 21 (7), 2129-2143. |
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