# American Institute of Mathematical Sciences

August  2004, 4(3): 623-628. doi: 10.3934/dcdsb.2004.4.623

## Two general models for the simulation of insect population dynamics

 1 The National Laboratory of Integrated Management of Insect and Rodent Pests in Agriculture, Institute of Zoology, Chinese Academy of Sciences Beijing 100080, China, China, China, China, China

Received  November 2002 Revised  October 2003 Published  May 2004

Detailed studies of single species population dynamics are important for understanding population behaviour and the analysis of large complex ecosystems. Here we present two general models for simulating insect population dynamics: The distributed delay processes and Poisson Process models. In the distributed delay processes model, the simulated population has the characteristic property that the time required for maturation from one stage of growth (instar) to another is directly related to ambient temperature. In this model the parameters DEL and K are significant to the simulated process. The discrete Poisson model deals with the individual development of a group of free entities with random forward movement. These two general component models can be used to simulate the population growth of many insects currently the subject of research interest. The application of distributed delay processes to dynamics of cotton bollworm helicoverpa armigera is presented. The results show the simulation data quite "fit" the observed data.
Citation: Dianmo Li, Zengxiang Gao, Zufei Ma, Baoyu Xie, Zhengjun Wang. Two general models for the simulation of insect population dynamics. Discrete and Continuous Dynamical Systems - B, 2004, 4 (3) : 623-628. doi: 10.3934/dcdsb.2004.4.623
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