Academic Journals Database
Disseminating quality controlled scientific knowledge

Bioeconomic modelling of a prey predator system using differential algebraic equations

ADD TO MY LIST
 
Author(s): T. K. Kar | Kunal Chakraborty

Journal: International Journal of Engineering, Science and Technology
ISSN 2141-2820

Volume: 2;
Issue: 1;
Start page: 13;
Date: 2010;
VIEW PDF   PDF DOWNLOAD PDF   Download PDF Original page

Keywords: Bioeconomics | differential algebraic system | time delay | Hopf bifurcation

ABSTRACT
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.
Why do you need a reservation system?      Affiliate Program