A multi-delay model for pest control with awareness induced interventions — Hopf bifurcation and optimal control analysis
作者机构：Department of MathematicsA sansol Girls'College A sansol-713304West BengalIndia
出 版 物：《International Journal of Biomathematics》 (生物数学学报（英文版）)
年 卷 期：2020年第13卷第6期
页 面：113-134页
核心收录：
学科分类：07[理学] 0701[理学-数学] 070101[理学-基础数学]
主 题：Mathematical model Holling type-II functional response delay differential equation(DDE) basic reproduction number Hopf bifurcation optimal control
摘 要：Farming awareness is an important measure for pest controlling in agricultural *** delay in controlling pest may affect the *** delay occurs in organizing awareness campaigns,also time delay may takes place in becoming aware of the control strategies or implementing suitable controlling methods informed through social *** we have derived a mathematical model incorporating two time delays into the system and Holling type-II functional *** existence and the stability criteria of the equilibria are obtained in terms of the basic reproduction number and time *** changes occur through Hopf-bifurcation when time delays cross the critical *** control theory has been applied for cost-effectiveness of the delayed *** simulations are carried out to justify the analytical *** study shows that optimal farming awareness through radio,TV *** control the delay induced bifurcation in a cost-effective way.
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