Transmission and epidemiological trends of pine wilt disease: Findings from sensitivity to optimality

In this work, a deterministic model is dedicatedly studied for the infection mechanism of pine wilt disease subject to varying sensitivity and optimality. We include time dependent controls into the pine wilt disease model and then analysed optimal conditions for the control of infection. Explicit form for the reproduction number has been obtained. Ultimate constant levels of infectious vectors and hosts have been discussed by employing the threshold condition. Two most effective techniques namely Lyapunov functional and graph theoretic have been used to find the final endemic level of population. The concept of full eradication of disease and reduction of constant level has been investigated through the utilization of two effective techniques. Using the concept of sensitivity analysis, control policies have been designed to control the disease. Additionally, the robustness of control plans has been shown graphically on the basis of data collected from open literature.