Dynamics of a host-parasitoid model with prolonged diapause for parasitoid

作者：Zhao, Min^*; Zhang, Limin; Zhu, Jun

来源：Communications in Nonlinear Science & Numerical Simulation, 2011, 16(1): 455-462.

DOI：10.1016/j.cnsns.2010.03.011

• Chaos
• Asymptotic stability
• Prolonged diapause
• Host-parasitoid

In this paper, a host-parasitoid model with prolonged diapause for parasitoid is proposed and analyzed. The asymptotic stability analysis of the system is performed. For a biologically reasonable range of parameter values, the global dynamics of the system have been studied numerically. In particular, the effect of prolonged diapause and parasitism on the system has been investigated. Many forms of complex dynamics are observed. The complexities include: (1) chaotic bands with periodic windows; (2) pitchfork and tangent bifurcations; (3) period-doubling and period-halving cascades; (4) intermittency; (5) supertransients; (6) non-unique dynamics, meaning that several attractors coexist; and (7) attractor crises. Furthermore, the complex dynamic behaviors of the model are confirmed by the largest Lyapunov exponents.

• 出版日期2011-1
• 单位温州大学; 浙江大学; 四川文理学院