The global properties of an age-dependent SI model involving pathogenic virus release and defence mechanisms for pests
The global properties of an age-dependent SI model involving pathogenic virus release and defence mechanisms for pests
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涉及病原病毒释放和害虫防御机制的年龄依赖性 SI 模型的整体特性
DOI：
10.1016/j.mcm.2009.12.020
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发表时间：
2010-07
影响因子：
--
通讯作者：
张弘
中科院分区：
文献类型：
--
作者：
张弘
虫害是生态系统中常见但不受欢迎的因素，是大多数发展中国家的棘手问题。为了防止害虫爆发，种植者往往求助于昆虫病原病毒，而不是影响人类健康和环境的杀虫剂。本文的目的是研究一种新的年龄结构害虫管理模型，该模型描述了易感害虫、感染害虫、病原病毒和防御免疫机制之间的相互作用。这个模型的一个特点是，它考虑了释放的致病病毒的数量和防御机制的效率对所谓的感染年龄的依赖性。首先，系统的渐近行为是建立通过单调性参数，它利用几个积分不等式，被证明，感染最终消亡，而在某些情况下，易感害虫也灭绝。利用Michailov准则，分析了平凡平衡点和半平凡无虫平衡点的线性化稳定性。在这方面，据观察，防御机制和感染期的最大长度在系统的动态中起着重要作用。通过数值模拟进一步研究了几种害虫控制策略，结果表明，当最初释放的致病病毒的剂量大于一定量时，可以通过改变该剂量来修改防御机制的响应曲线。最后，本文的结论与讨论的数学结果和框架的生物学意义。
Insect pests are common but undesirable elements in ecosystems and represent thorny problems for most developing countries. To prevent pest outbreaks, growers often resort to insect–pathogenic viruses rather than to pesticides which affect human health and the environment. The purpose of this paper is to investigate a new age-structured pest management model which describes the interaction between susceptible insect pests, infected insect pests, pathogenic viruses and defence immunity mechanisms. A feature of this model is that it accounts for the dependence of the amount of pathogenic viruses released and of the efficiency of the defence mechanisms upon the so-called age of infection. First, the asymptotic behavior of the system is established via a monotonicity argument which makes use of several integral inequalities, being shown that the infection ultimately dies out, while under certain circumstances the susceptible pests also become extinct. By means of the Michailov criterion, one then analyzes the linearized stability of the trivial equilibrium and of the semi-trivial infected pest-free equilibrium. In this regard, it is observed that the defence mechanisms and maximal length of the infective period play important roles in the dynamics of the system. Several pest controls strategies are further investigated by means of numerical simulations, which show that when the dose of pathogenic viruses released initially is larger than a certain amount the profile of the response of defence mechanisms can be modified by changing this dose. Finally, the paper is concluded with a discussion on the biological significance of the mathematical results and framework.
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影响因子：
23.8
作者：
L. Falcon
通讯作者：
L. Falcon
DOI：
--
发表时间：
1973
期刊：
--
影响因子：
--
作者：
F. D. Boulanger;John P. Smith
通讯作者：
F. D. Boulanger;John P. Smith
DOI：
10.1007/978-1-4613-9217-0
发表时间：
1993
期刊：
--
影响因子：
--
作者：
J. Oakeshott;M. J. Whitten
通讯作者：
J. Oakeshott;M. J. Whitten
影响因子：
64.8
作者：
R. Sellers
通讯作者：
R. Sellers
DOI：
10.2307/2377
发表时间：
1965-02
期刊：
--
影响因子：
--
作者：
P. Debach
通讯作者：
P. Debach