Complex Behavior in a Fish Algae Consumption Model with Impulsive Control Strategy

Jin Yang, Min Zhao
2011 Discrete Dynamics in Nature and Society  
This paper investigates a dynamic mathematical model of fish algae consumption with an impulsive control strategy analytically. It is proved that the system has a globally asymptotically stable algae-eradication periodic solution and is permanent by using the theory of impulsive equations and small-amplitude perturbation techniques. Numerical results for impulsive perturbations demonstrate the rich dynamic behavior of the system. Further, we have also compared biological control with chemical
more » ... rol with chemical control. All these results may be useful in controlling eutrophication.
doi:10.1155/2011/163541 fatcat:2ketgz4a5jcvre4x76mknnf2jy