Das, Krishna Pada ; Chatterjee, Samrat ; Chattopadhyay, J. (2009) Disease in prey population and body size of intermediate predator reduce the prevalence of chaos-conclusion drawn from Hastings-Powell model Ecological Complexity, 6 (3). pp. 363-374. ISSN 1476-945X
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Official URL: http://linkinghub.elsevier.com/retrieve/pii/S14769...
Related URL: http://dx.doi.org/10.1016/j.ecocom.2009.03.003
Abstract
In ecology the disease in the prey population plays an important role in controlling the dynamical behaviour of the system. We modify Hastings and Powell's (HP) [Hastings, A., Powell, T., 1991. Chaos in three-species food chain. Ecology 72 (3), 896-903] model by introducing disease in the prey population. The conditions for which the modified HP model system represents extinction, permanence or impermanence of population are worked out. The modified model is analyzed to obtain different conditions for which the system exhibits stability around the biologically feasible equilibria. Through numerical simulations we display that the modified system enters into stable solutions depending upon the force of infection in prey population as well as body size of intermediate predator. Our results demonstrate that disease in prey population and body size of intermediate predator are the key parameters for controlling the chaotic dynamics observed in original HP model.
| Item Type: | Article |
|---|---|
| Source: | Copyright of this article belongs to Elsevier Science. |
| Keywords: | Disease in Prey; Body Size; Intermediate Predator; Chaos; Stable; Permanence; Impermanence |
| ID Code: | 7522 |
| Deposited On: | 25 Oct 2010 11:18 |
| Last Modified: | 30 May 2011 04:58 |
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