Complex behavior in an Ivlev-type mutual interference predator-prey model concerning IPM

An Ivlev-type predator-prey system with mutual interference concerning Integrated Pest Management (IPM) is considered. The locally stable prey-eradication periodic solution is obtained when the impulsive period is less than some critical value, by using Floquet theorem and small amplitude perturbation skills. Otherwise, the system is permanent. Numerical examples show that the system considered has more complicated dynamics behaviors, including: (1) high-order periodic oscillation, (2) period-doubling bifurcation, (3) several attractors coexist, (4) attractor crisis, etc, by bifurcation diagrams, largest Lyapunov exponent and “0-1” test. Finally, some conclusions are given.