A multi-delay model for pest control with awareness induced interventions — Hopf bifurcation and optimal control analysis

• 作者: Fahad Al Basir
• 来源期刊: 生物数学学报:英文版
• 学科: 数学
• 关键词: Mathematical model Holling type-II functional response delay differential equation(DDE) basic reproduction number Hopf bifurcation optimal control
• 年，卷（期）: 2020,（6）
• 页码范围: 113-134
• 页数: 22页
• 分类号: O17

摘要

Farming awareness is an important measure for pest controlling in agricultural practice.Time delay in controlling pest may affect the system.Time 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 media.Thus we have derived a mathematical model incorporating two time delays into the system and Holling type-II functional response.The existence and the stability criteria of the equilibria are obtained in terms of the basic reproduction number and time delays.Stability changes occur through Hopf-bifurcation when time delays cross the critical values.Optimal control theory has been applied for cost-effectiveness of the delayed system.Numerical simulations are carried out to justify the analytical results.This study shows that optimal farming awareness through radio,TV etc.can control the delay induced bifurcation in a cost-effective way.