Projects per year
This paper is concerned with the existence and asymptotic behavior of traveling wave solutions for a nonlocal dispersal vaccination model with general incidence. We first apply the Schauder’s fixed point theorem to prove the existence of traveling wave solutions when the wave speed is greater than a critical speed c∗. Then we investigate the boundary asymptotic behaviour of traveling wave solutions at +∞ by using an appropriate Lyapunov function. Applying the method of two-sided Laplace transform, we further prove the non-existence of traveling wave solutions when the wave speed is smaller than c∗. From our work, one can see that the diffusion rate and nonlocal dispersal distance of the infected individuals can increase the critical speed c∗, while vaccination reduces the critical speed c∗. In addition, two specific examples are provided to verify the validity of our theoretical results, which cover and improve some known results.
|Number of pages||27|
|Journal||Discrete and Continuous Dynamical Systems - Series B|
|State||Published - 2020|
- General incidence
- Nonlocal dispersal
- Schauder’s fixed point theorem
- Traveling wave solutions
- Two-sided Laplace transform
FingerprintDive into the research topics of 'Traveling waves for a nonlocal dispersal vaccination model with general incidence'. Together they form a unique fingerprint.
- 1 Finished
Interaction and Stability of Traveling Waves for Lattice Dynamical System and Reaction-Diffusion Equations(2/3)
1/08/19 → 31/07/20