Global Dynamics of Secondary DENV Infection with Diffusion

During the past eras, many mathematicians have paid their attentions to model dynamics of dengue virus (DENV) infection but without taking into account mobility cells and DENV particles. In this study, we develop investigate a partial differential equations (PDEs) that describes secondary spatial particles cells. The includes five nonlinear PDEs describing interaction among target cells, DENV-infected particles, heterologous antibodies, homologous antibodies. beginning, well-posedness solutions, including existence global solutions boundedness, is justified. We derive three threshold parameters which govern stability four equilibria model. study all based on construction suitable Lyapunov functions usage Lyapunov–LaSalle’s invariance principle (LLIP). Last, numerical simulations are carried out in order verify validity our theoretical results.