Effects of Temperature on the Existence of Resource Based Predator Modelling and Stability Analysis
Journal Title: International Journal of Engineering Sciences & Research Technology - Year 30, Vol 2, Issue 9
Abstract
Thermal pollutants include the waste heat chiefly adversely affect the aquatic environment. Coal fired or nuclear fuel problem of thermal pollution. The study of the effects of temperature on the existenc prey system is carried out in the paper using mathematical model. The study has been conducted considering prey predator system in which the parameters like growth rate, death rate, carrying capacity and interaction coefficient are assumed to be the functions of temperature which itself is changing with time. In writing the model, a separate dynamical equation for the temperature is supplemented with the equations for prey the effect of temperature is assumed to occur due to the natural reasons such as seasonal or climatic changes and also as a result of the hot water discharge from the industries. The mathematical model to study the effects of temperature on the existence of resource based prey two feasible equilibrium points. It is found that the first positive equilibrium state which is unstable without diffusion may become stable by considering diffusion and advection. On the basis survival or extinction of the prey and predator populations have been derived.
Authors and Affiliations
Anita Chaturvedi
Keywords
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