%0 Journal Article
%T A Qualitative Study of Biological Pest Control System
%A Y.O. Aderinto
%A O.M. Bamibgola
%A F.M. Jimoh
%A M.A. Ganiyu
%J Asian Journal of Mathematics & Statistics
%D 2013
%I Asian Network for Scientific Information
%X Agricultural pests are the insects that feed on crops and damaged them. Most current agricultural pest control methods focused on chemical insecticides. Research works have shown that these chemicals have many disastrous consequences. However, effective control of these pests can be obtained through the use of living organisms to reduce the density of pest below economic damaging level and this is refers to as biological pest control. If a mathematical model for the biological system is provided, then the effects of such pests can be controlled by the methods of optimal control theory. In this study, the biological control of agricultural pest system via optimal control theory approach was qualitatively studied. In an attempt to minimize the pest population below injury level and stabilize the natural enemies' population. The system was analysed, equilibrium point for the system was determined, stability and economic loss free equilibrium was equally established. Numerical values were employed to check for the validity of the method and the result was found to be effective.
%K pest population
%K Biological control
%K optimal control
%K stability
%U http://docsdrive.com/pdfs/ansinet/ajms/2013/43-51.pdf