Projects per year
This paper is concerned with the existence of traveling wave solutions for a vaccination model with general incidence. The existence or nonexistence of traveling wave solutions for the model with specific incidence were proved recently when the wave speed is greater or smaller than a critical speed respectively. However, the existence of critical traveling wave solutions (with critical wave speed) was still open. In this paper, applying the Schauder’s fixed point theorem via a pair of upper- and lower-solutions of the system, we show that the general vaccination model admits positive critical traveling wave solutions which connect the disease-free and endemic equilibria. Our result not only gives an affirmative answer to the open problem given in the previous specific work, but also to the model with general incidence. Furthermore, we extend our result to some nonlocal version of the considered model.
|Number of pages||17|
|Journal||Discrete and Continuous Dynamical Systems - Series B|
|State||Published - Mar 2022|
- Critical wave speed
- General incidence
- Schauder’s fixed point theorem
- Traveling wave
- Upper- and lower-solutions
FingerprintDive into the research topics of 'CRITICAL TRAVELING WAVE SOLUTIONS FOR A 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(3/3)
1/08/20 → 31/07/21