On the Uniqueness and Monotonicity of Traveling Wave Solutions in a Class of Epidemic Models
楊智烜教授東海大學數學系 上午 10:10–11:00 Tòa nhà Hồng Kinh 107 室This work concerns with the asymptotic behavior, monotonicity and uniqueness of traveling wave solutions in a class epidemic model arising from the spread of the epidemic with oral-fecal transmission. Based on the existence results of monostable traveling wave solution, which has been obtained by other authors, we prove the uniqueness and monotonicity provided the traveling wave solutions satisfy some boundness conditions. We also determine the exponential rate that the profile of the traveling wave solution converges to the equilibrium as the moving coordinate tends to infinity.