Dynamics of a partially degenerate reaction-diffusion cholera model with horizontal transmission and phage-bacteria interaction
| dc.contributor.author | Hu, Zhenxiang | |
| dc.contributor.author | Wang, Shengfu | |
| dc.contributor.author | Nie, Linfei | |
| dc.date.accessioned | 2023-05-19T20:02:39Z | |
| dc.date.available | 2023-05-19T20:02:39Z | |
| dc.date.issued | 2023-01-24 | |
| dc.description.abstract | We propose a cholera model with coupled reaction-diffusion equations and ordinary differential equations for discussing the effects of spatial heterogeneity, horizontal transmission, environmental viruses and phages on the spread of vibrio cholerae. We establish the well-posedness of this model which includes the existence of unique global positive solution, asymptotic smoothness of semiflow, and existence of a global attractor. The basic reproduction number R0 is obtained to describe the persistence and extinction of the disease. That is, the disease-free steady state is globally asymptotically stable for R0≤1, while it is unstable for R0>1. And, the disease is persistence and the model has the phage-free and phage-present endemic steady states in this case. Further, the global asymptotic stability of phage-free and phage-present endemic steady states are discussed for spatially homogeneous model. Finally, some numerical examples are displayed in order to illustrate the main theoretical results and our opening questions. | |
| dc.description.department | Mathematics | |
| dc.format | Text | |
| dc.format.extent | 38 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.identifier.citation | Hu, Z., Wang, S., & Nie, L. (2023). Dynamics of a partially degenerate reaction-diffusion cholera model with horizontal transmission and phage-bacteria interaction. Electronic Journal of Differential Equations, 2023(08), pp. 1-38. | |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://hdl.handle.net/10877/16843 | |
| dc.language.iso | en | |
| dc.publisher | Texas State University, Department of Mathematics | |
| dc.rights | Attribution 4.0 International | |
| dc.rights.uri | https://creativecommons.org/licenses/by/4.0/ | |
| dc.source | Electronic Journal of Differential Equations, 2022, San Marcos, Texas: Texas State University and University of North Texas. | |
| dc.subject | Cholera model | |
| dc.subject | Environmental and horizontal transmission | |
| dc.subject | Spatial heterogeneity and phages | |
| dc.subject | Basic reproduction number | |
| dc.subject | Global asymptotic stability | |
| dc.title | Dynamics of a partially degenerate reaction-diffusion cholera model with horizontal transmission and phage-bacteria interaction | en_US |
| dc.type | Article |