Special Session 85: New Trends in The Mathematical Modeling of Epidemiology and Immunology

Traveling Wave Speed and Profile of Rabies Model: Insights from the Go or Grow Hypothesis

Aisha Tursynkozha
Nazarbayev University
Kazakhstan
Co-Author(s):    Yang Kuang, Ardak Kashkynbayev
Abstract:
Rabies is a viral infection that affects the central nervous system, primarily transmitted through direct contact with infected animals. The disease exhibits a characteristic traveling wave pattern of spread, which can be effectively captured through mathematical modeling. In this work, we propose a two-population reaction-diffusion model for the red fox based on the Go or Grow hypothesis, which incorporates the movement and interaction between susceptible and infectious populations. Using approximation methods, we analyze various traveling wave solutions and provide new insights into the progression of the infection, offering a more accurate representation of rabies spread.