Special Session 109: Differential, Difference, and Integral Equations: Techniques and Applications

Finite-time blow-up in a three-dimensional chemotaxis-May--Nowak model

Yuya Tanaka
Department of Mathematical Sciences, Kwansei Gakuin University
Japan
Co-Author(s):    Mario Fuest
Abstract:
A chemotaxis-May--Nowak model was introduced as one of epidemic models (e.g. HIV infection) in 2013, and also results on boundedness and finite-time blow-up of solutions were obtained. Moreover, to consider more realistic situations, a modified model was proposed and investigated boundedness of solutions by Fuest (J. Math. Anal. Appl.; 2019; 472; 1729--1740). In this talk we give a result on finite-time blow-up of solutions for the parabolic--elliptic--parabolic version of this model. This is a joint work with Mario Fuest.