共查询到17条相似文献,搜索用时 78 毫秒
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研究了具有脉冲作用和功能反应的二阶食饵一捕食系统.利用脉冲微分方程的F1quet乘子理论、比较定理等方法,证明了当脉冲周期小于某个临界值时,系统存在一个全局渐进稳定的害虫灭绝周期解,并说明了系统的解是一致最终有界的. 相似文献
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研究一类资源以Cui-Lawson增长为基础的具有状态依赖脉冲收获的生态系统.首先对无脉冲作用的系统进行定性分析,得到正平衡点存在和稳定的充分条件.其次对具有状态依赖的脉冲系统,利用微分方程几何理论中后续函数法得到系统的阶一周期解存在的充分条件,证明该周期解是轨道渐近稳定的,同时利用数值模拟讨论了系统生态意义. 相似文献
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这篇论文讨论了关于脉冲释放病虫与喷洒农药的害虫管理SI模型.我们不但证明了系统的所有解的一致完全有界,而且得到了害虫灭绝的边界周期解的全局渐进稳定的条件是In1/1-μ1>rT-rμθ(1-exp(-wT))/Kw(1-(1-μ2)exp(-WT)-βμ^3(1-exp(-3WT))/3w(1-μ2)exp(-WT))^3也得到了系统(1)的一致持久的条件我们的结论为实际的害虫管理提供了可靠的理论依据. 相似文献
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Rodrigo T. N. Cardoso André R. da Cruz Elizabeth F. Wanner Ricardo H. C. Takahashi 《Bulletin of mathematical biology》2009,71(6):1463-1481
The biological pest control in agriculture, an environment-friendly practice, maintains the density of pests below an economic
injury level by releasing a suitable quantity of their natural enemies. This work proposes a multi-objective numerical solution
to biological pest control for soybean crops, considering both the cost of application of the control action and the cost
of economic damages. The system model is nonlinear with impulsive control dynamics, in order to cope more effectively with
the actual control action to be applied, which should be performed in a finite number of discrete time instants. The dynamic
optimization problem is solved using the NSGA-II, a fast and trustworthy multi-objective genetic algorithm. The results suggest
a dual pest control policy, in which the relative price of control action versus the associated additional harvest yield determines
the usage of either a low control action strategy or a higher one. 相似文献
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The jumps in population size due to the occurrence of an unfavorable physical environment (e.g. the effects of periodic climate disaster on the population size), or due to the intrinsic physiological and reproductive mechanisms of the population (e.g. the seasonal reproduction of most animal populations), can be called impulsive perturbations. A two-phenotype evolutionary game dynamics with impulsive effects is investigated. The main goal is to show how the evolutionary game dynamics is affected by the impulsive perturbations. The results show that the impulsive perturbations not only result in periodic behavior, but also it is possible that an ESS strategy based on the traditional concept of evolutionary stability can be replaced successfully by a non-ESS strategy. 相似文献
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具脉冲效应时滞微分方程的全局吸引性 总被引:2,自引:0,他引:2
系统研究了具脉冲效应时滞系统x(t)=f(t,x(t-τ1(t)),…,x(t-τm(t))),t,t-τi(t)≠tk,k∈Z^ ,x(tk^ )=x(tk) Ik(x(tk)),t=tk,k∈Z^ 的正平衡态的全局吸引性,并把得到的理论结果应用到多个具脉冲效应时滞的种群模型。 相似文献