Abstract
•We study the dynamics of host vector pine wilt disease model with convex incidence rate.•By suitable analysis we prove global stability of the proposed model.•With the help of non-standard finite difference method we have shown the numerical simulation.
The present studies provide qualitative aspects of pine wilt disease model while incorporating convex incidence rate. Studying the nature of the proposed model, it is shown that the basic reproductive number completely determine various dynamics of the model. The global asymptotic stability analysis is expounded at different equilibrium points. The model has shown that the disease disappear, when the threshold quantity falls below unity. Numerical results are presented graphically to illustrate theoretical discussions.