Nonconstant positive steady states and pattern formation of a diffusive epidemic model

Gao Xiaoyan: Nonconstant positive steady states and pattern formation of a diffusive epidemic model. (2022)

[thumbnail of ejqtde_2022_020.pdf] Teljes mű

Download (672kB)


It is our purpose in this paper to make a detailed description for the structure of the set of the nonconstant steady states for the two-dimensional epidemic S-I model with diffusion incorporating demographic and epidemiological processes with zeroflux boundary conditions. We first study the conditions of diffusion-driven instability occurrence, which induces spatial inhomogeneous patterns. The results will extend to the derivative of prey’s functional response with prey is positive. Moreover, we establish the local and global structure of nonconstant positive steady state solutions. A priori estimates for steady state solutions will play a key role in the proof. Our results indicate that the diffusion has a great influence on the spread of the epidemic and extend well the finding of spatiotemporal dynamics in the epidemic model.

Item Type: Journal
Publication full: Electronic journal of qualitative theory of differential equations
Date: 2022
Number: 20
ISSN: 1417-3875
Number of Pages: 19
Language: English
Place of Publication: Szeged
DOI: 10.14232/ejqtde.2022.1.20
Uncontrolled Keywords: Differenciálegyenlet
Additional Information: Bibliogr.: p. 17-19. ; összefoglalás angol nyelven
Subjects: 01. Natural sciences
01. Natural sciences > 01.01. Mathematics
Date Deposited: 2022. May. 24. 09:11
Last Modified: 2022. May. 24. 09:11

Actions (login required)

View Item View Item