Moerbeek M, van den Bosch F
Department of Mathematics, Agricultural University, Wageningen, The Netherlands.
Math Biosci. 1997 Apr 15;141(2):115-48. doi: 10.1016/s0025-5564(96)00175-7.
The control of insect pests by using insect pathogens as dynamic biological control agents is a recent effort. Model studies on insect-pathogen relations can help in the development of biocontrol programs. Except for the work of Briggs and Godfray [1], insect-pathogen models ignore the stage-specific susceptibility of insects. Moreover most models do not incorporate insect self-regulation. We develop stage-structured models of insect-pathogen relations incorporating insect-density dependence and disease transmitted through direct contact between susceptible and infective individuals. The models are analyzed by using steady-state and stability analysis. Numerical solutions are used as sources of further insight into the dynamics of the insect-pathogen systems. It is shown that there are major differences in the dynamics of adult- and juvenile-infecting diseases. Moreover, the interplay between insect-density dependence and stage-specific susceptibility has important consequences for the dynamics of insect-pathogen systems.
利用昆虫病原体作为动态生物防治剂来控制害虫是最近的一项工作。关于昆虫与病原体关系的模型研究有助于生物防治计划的制定。除了布里格斯和戈德弗雷 [1] 的工作外，昆虫 - 病原体模型忽略了昆虫的阶段特异性易感性。此外，大多数模型没有纳入昆虫的自我调节。我们开发了昆虫 - 病原体关系的阶段结构模型，该模型纳入了昆虫密度依赖性以及通过易感个体和感染个体之间的直接接触传播的疾病。通过稳态和稳定性分析对模型进行分析。数值解被用作进一步深入了解昆虫 - 病原体系统动态的来源。结果表明，感染成虫和幼虫的疾病在动态方面存在重大差异。此外，昆虫密度依赖性和阶段特异性易感性之间的相互作用对昆虫 - 病原体系统的动态具有重要影响。
