**Usha Pancholi ^{a}, Prahlad Dube^{b} & R. K. Sharma^{c}**

^{a}Department of Mathematics, Government College, Kota, Rajasthan, India

^{b}Department of Zoology, Government College, Kota, Rajasthan, India

^{c}Department of Mathematics, Govt. College, Bundi, Rajasthan, India

Received 25th June, 2013; Revised 30th July, 2013

**Abstract** : Mathematical and statistical models can serve as tools for understanding the epidemiology of human immunodeficiency virus and acquired immunodeficiency syndrome if they are constructed carefully. A mathematical model has been developed for the formulation and simulation of real phenomenon by which predictions and forecasts can be made. These models developed using differential equations. The full dynamics of the model and the effects of varying the functional forms are not completely understood. Moreover, the effects of small-scale physical influences are only recently becoming apparent. We investigated the use of a simple plankton population model based on observation from a pond.

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