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Optimal control, signal flow graph, and system electronic circuit realization for nonlinear Anopheles mosquito model
International Journal of Modern Physics C ( IF 1.5 ) Pub Date : 2020-07-27 , DOI: 10.1142/s0129183120501302
K. A. Gepreel 1, 2 , M. Higazy 1, 3 , A. M. S. Mahdy 1, 2
Affiliation  

We study the estimated investigative answers for one of the popular models in biomathematics, in particular, the nonlinear Anopheles mosquito model numerically. The optimal control (OC) for nonlinear Anopheles mosquito model is examined. Important and adequate conditions to ensure the presence and singularity of the arrangements of the control issue are assumed. Two control factors are suggested to limit the normal measure of eggs laid per treated female every day. The signal stream chart and Simulink[Formula: see text]Matlab of this model are constructed. The framework is designed utilizing the MULTISIM simulation program. We utilize the homotopy disruption strategy (HPM) to examine the logical surmised answer for the nonlinear control issue. We utilize the mathematical programming bundles, for example, Maple, to emphasize while ascertaining the rough arrangement. Results are displayed graphically and introduced to delineate the conduct of obtained inexact arrangements.

中文翻译:

非线性按蚊模型的最优控制、信号流图及系统电子电路实现

我们研究了生物数学中一种流行模型的估计调查答案,特别是非线性按蚊模型的数值。检验非线性按蚊模型的最优控制(OC)。假设了重要且充分的条件,以确保控制问题的安排的存在和独特性。建议使用两个控制因素来限制每个接受治疗的雌性每天产卵的正常测量值。构建了该模型的信号流图和Simulink[公式:见正文]Matlab。该框架是利用 MULTISIM 仿真程序设计的。我们利用同伦中断策略(HPM)来检查非线性控制问题的逻辑推测答案。我们利用数学编程包,例如 Maple,在确定粗略安排的同时强调。结果以图形方式显示并引入以描述获得的不精确安排的行为。
更新日期:2020-07-27
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