Within-host models of dengue virus transmission with immune response

Abstract Dengue fever is an infectious viral fever. The complex behavior of the virus within body can be explained through mathematical models to understand virus’s dynamics. We propose two different with-in host dengue transmission with humoral immune response. proposed differ from one another because assumes that newly formed viruses infect healthy cells again. To dynamics models, we perform a comparative study stability analysis, numerical simulation, and sensitivity analysis. basic reproduction number (BRN) computed using next-generation matrix method. local (l.s) analysis discussed linearization Lyapunov’s direct method used check global (g.s) models. It has been found both equilibrium states for namely, virus-free state endemic state, are globally stable, based on value BRN. Results show influence response cell particles. neutralization rate by antibodies affects antibody growth highly sensitive Optimal control applied explore possible strategies prevent spread in system. evident results strategy administrate antibiotic drugs home remedies slow down host.