Chattopadhyay, J. ; Pal, S. (2002) Viral infection on phytoplankton-zooplankton system-a mathematical model Ecological Modelling, 151 (1). pp. 15-28. ISSN 0304-3800
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Official URL: http://linkinghub.elsevier.com/retrieve/pii/S03043...
Related URL: http://dx.doi.org/10.1016/S0304-3800(01)00415-X
Abstract
The present paper deals with the problem of a phytoplankton-zooplankton system in which some of the phytoplankton cells are infected by some viral infection and forming an infected group. The proposed model is similar to the model of Beltrami and Carroll (J. Math. Biol. 32 (1994) 857) and the model of Venturino (Math. Popul. Dyn. Anal. Heterogeneity 1 (1995) 381). The conditions for the coexistence of the populations are presented. The essential mathematical features are analyzed with the help of local stability, global stability and numerical analysis to compare the findings of Beltrami-Carroll and Venturino. Our conclusion is that the role of viral infection in plankton community is very much unpredictable and model dependent.
| Item Type: | Article |
|---|---|
| Source: | Copyright of this article belongs to Elsevier Science. |
| Keywords: | Susceptible and Infected Phytoplankton; Grazer; Non-existence of Periodic Solutions; Persistence |
| ID Code: | 7534 |
| Deposited On: | 25 Oct 2010 11:13 |
| Last Modified: | 30 May 2011 06:27 |
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