Special Session 40: Applications of dynamical systems in medicine and biology

A two-strain dengue model with a constant recruitment rate
Marcin Choinski
Institute of Information Technology, Warsaw University of Life Sciences - SGGW
Poland
Co-Author(s):    Joanna Renclawowicz, Urszula Skwara
Abstract:
We propose a two--strain dengue model that captures the interactions between human and mosquito populations. It incorporates vertical transmission of the dengue virus from adult mosquitoes to their offspring, along with a constant recruitment rate of susceptible larval mosquitoes. We discuss the existence and local stability of the disease-free and one--strain equilibria. Moreover, we indicate stationary states with two strains. Analytical outcomes are complemented with numerical simulations.