Abstract
This paper is concerned with the nonlinear stability of traveling waves of a delayed monostable epidemic model with quasi-monotone condition. We prove that the traveling wave front is exponentially stable by means of the weighted-energy method and the comparison principle to perturbation in some exponentially weighted $L^{\infty}$ spaces, when the difference between initial data and traveling wave front decays exponentially as $x \to -\infty$, but the initial data can be suitable large in other locations. Finally, we present two examples to support our theoretical results.
Citation
Xin Wu. Zhaohai Ma. Rong Yuan. "Nonlinear Stability of Traveling Waves in a Monostable Epidemic Model with Delay." Taiwanese J. Math. 21 (6) 1381 - 1411, December, 2017. https://doi.org/10.11650/tjm/8048
Information