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

Co-infection model of airborne disease with two-strain dengue.
Joanna Renc{\\l}awowicz
Institute of Mathematics and Cryptology, Cybernetics Faculty, Military University of Technology
Poland
Co-Author(s):    Marcin Choi\`{n}ski
Abstract:
In this talk we propose a model describing the co-infection spread of airborne disease and dengue. We introduce an unusual approach that combines airborne disease with a relatively deep insight into dengue dynamics. We consider two distinct dengue strains that cause primary and secondary infections, which can yield antibody-dependent enhancement. Moreover, we incorporate vertical transmission into a mosquito population. Such an assumption provides a complex system for which we can provide analytical results. Thus, we prove the existence of stationary states across various epidemic scenarios and determine local stability for some states. Additionally, we conduct numerical simulations related to a real case of airborne disease and dengue spread in Latin America.The simulations confirm our established mathematical outcomes.