Approximation of the change point of local stability in a one-prey two-predators system using the bisection method.

In this article we consider a one-prey two-predators system with square root response function and the prey harvest factor. By varying some parameter values of the system, we found that is local stability could change. We propose an adapted bisection method to approximate the point where local stability change. In addition, all three populations of the system could be coexisted within a certain time. [ABSTRACT FROM AUTHOR]