Abstract:
We proposed and studied a mathematical model which describes the dynamics of two preys and
one predator web system with prey harvesting in which one predator shows a Holling type II
functional response to one prey that is also harvested and a ratio- dependent response to the other
prey. Analysis of the model showed that the three species would co-exist if the first prey were
not harvested beyond their intrinsic growth rate. Numerical simulation of the model are carried
out and showing the behavior of the system changes mostly from a limit cycle to a stable spiral
and vice-versa when values of some parameters such as harvesting rate of prey1, mortality rate
of predator, anti-predator behavior of prey2 are varied; this implied that these parameters can be
controlled.
