Stochastic Processes and Insect Outbreak Systems:

Abstract:- The aim of the present work is to bring together new tools and developments in physics and computer science with new aspects in applied entomology. Our work elaborates on well known studies on applied entomology in population insect dynamics. A spatial evolution equation for olive fly population is proposed in order to describe more accurately outbreaks of insect populations by incorporating random movement or dispersion of the population. It turns out that dispersion causes both acceleration of population growth and shift of the high stable population equilibrium to even higher values thus producing population outbreak. Simulation results are also presented confirming theoretically predicted behavior of outbreaks in earlier times. Key-Words:- population ecology, dispersion, insect outbreak 1