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- W2014285401 abstract "Most natural ecosystem populations suffer from various infectious diseases and the resulting host-pathogen dynamics is dependent on host’s characteristics. On the other hand, empirical evidences show that for most host pathogen systems, a part of the host population always forms a refuge. To study the role of refuge on the host-pathogen interaction, we study a predator–prey-pathogen model where the susceptible and the infected prey can undergo refugia of constant size to evade predator attack. The stability aspects of the model system is investigated from a local and global perspective. The study reveals that the refuge sizes for the susceptible and the infected prey are the key parameters that control possible predator extinction as well as species co-existence. Next we perform a global study of the model system using Lyapunov functions and show the existence of a global attractor. Finally we perform a stochastic extension of the basic model to study the phenomenon of random refuge arising from various intrinsic, habitat-related and environmental factors. The stochastic model is analyzed for exponential mean square stability. Numerical study of the stochastic model shows that increasing the refuge rates has a stabilizing effect on the stochastic dynamics." @default.
- W2014285401 created "2016-06-24" @default.
- W2014285401 creator A5045106640 @default.
- W2014285401 creator A5086860541 @default.
- W2014285401 date "2012-09-01" @default.
- W2014285401 modified "2023-10-16" @default.
- W2014285401 title "Effects of deterministic and random refuge in a prey–predator model with parasite infection" @default.
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- W2014285401 doi "https://doi.org/10.1016/j.mbs.2012.04.007" @default.
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