Bairagi, N. ; Chattopadhyay, J. (2002) Pelican at risk in Salton Sea- a delay induced eco-epidemiological model Mathematical and Computer Modelling of Dynamical Systems, 8 (3). pp. 257-272. ISSN 1387-3954
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Official URL: http://www.informaworld.com/smpp/6084628-31196666/...
Related URL: http://dx.doi.org/10.1076/mcmd.8.3.257.14101
Abstract
Elevated salinity, accelerated eutrophication, blooms of Avian botulism and dramatic water quality fluctuation are supposed to be the key factors for massive die-off of Tilapia (prey) and Pelican (predator) in the Salton sea. We modify the model of Chattopadhyay and Bairagi [Ecological Modelling 136 (2001), pp. 103-112] with an assumption that the growth rate of susceptible fish population is very high and study the dynamics of the system by introducing a delay factor in the predator response function. It is observed that the otherwise stable system exhibit a stable limit cycle solution when the lag factor attains its critical value. It is also observed that there is a high possibility of an epidemic out break in the fish as well as in the Pelican population if the predation process is delayed by a considerable amount of time. Numerical simulations for a hypothetical set of parameter values are presented to illustrate the analytical findings.
Item Type: | Article |
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Source: | Copyright of this article belongs to Taylor and Francis Ltd. |
ID Code: | 7513 |
Deposited On: | 25 Oct 2010 11:19 |
Last Modified: | 30 May 2011 06:27 |
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