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Semi-Kolmogorov models for predation with indirect effects in random environments

Opened Access Semi-Kolmogorov models for predation with indirect effects in random environments

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Autor: Caraballo Garrido, Tomás
Colucci, Renato
Departamento: Universidad de Sevilla. Departamento de Ecuaciones Diferenciales y Análisis Numérico
Fecha: 2016-09
Publicado en: Discrete and Continuous Dynamical Systems - Series B, 21 (7), 2129-2143.
Tipo de documento: Artículo
Resumen: 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.
Cita: 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.
Tamaño: 224.8Kb
Formato: PDF

URI: http://hdl.handle.net/11441/44887

DOI: 10.3934/dcdsb.2016040

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