%0 Journal Article
%T Bioeconomic modelling of a prey predator system using differential algebraic equations
%A T. K. Kar
%A Kunal Chakraborty
%J International Journal of Engineering, Science and Technology
%D 2010
%I 
%X We propose a biological economic model based on prey-predator dynamics where the prey species are continuously harvested and predation is considered with type II functional response. The dynamic behavior of the proposed biological economic prey-predator model is discussed. Continuous type gestational delay of predators is incorporated and its effect on the dynamical behavior of the model system is analyzed. Through considering delay as a bifurcation parameter, the occurrence of Hopf bifurcation of the proposed model system with positive economic profit is shown in the neighborhood of the co-existing equilibrium point. Finally, some numerical simulations are given to verify the analytical results and the system is analyzed through graphical illustrations.
%K Bioeconomics
%K differential algebraic system
%K time delay
%K Hopf bifurcation
%U http://www.ijest-ng.com/ijest-ng-vol.2-no.1-pp.13-34.pdf