Bhattacharyya S, Bhattacharya D K
Department of Pure Mathematics, University of Calcutta, 35, B.C. Road, Calcutta 700 019, India.
Math Biosci. 2007 Sep;209(1):256-81. doi: 10.1016/j.mbs.2006.08.003. Epub 2006 Aug 17.
The object of the present paper is to study an integrated pest management (IPM) problem in an agroecosystem (paddy-fish culture) through mathematical modeling and analysis, where release of sterile males and spraying of pesticide have been used as control measures for pest population. Using optimal analysis of the model, we have shown that restricted and proper use of control measures might enhance the crop production of the system in an economically viable way. The paper also considers the vulnerability of the underlined ecosystem due to the effect of temperature on the pest growth. Using Liapunov-like function, we have found out a suitable range of temperature, where this IPM strategy remains effective. Some important remarks have finally been made on the basis of numerical simulation.
本文的目的是通过数学建模与分析来研究农业生态系统（稻鱼养殖）中的综合虫害管理（IPM）问题，其中释放不育雄虫和喷洒农药被用作害虫种群的控制措施。通过对模型的最优分析，我们表明，限制并合理使用控制措施可能以经济可行的方式提高系统的作物产量。本文还考虑了温度对害虫生长的影响所导致的相关生态系统的脆弱性。利用类李雅普诺夫函数，我们找出了一个合适的温度范围，在此温度范围内这种IPM策略仍然有效。最后基于数值模拟给出了一些重要结论。
