Open Access. Powered by Scholars. Published by Universities.®
- Keyword
-
- Cholera model (1)
- Contact rate (1)
- Culicidae (1)
- Epidemic and endemic dynamics (1)
- Example (1)
-
- Global stability (1)
- Infectious diseases (1)
- Mathematical model (1)
- Mosquitos diptera (1)
- Nonlinear incidence (1)
- Ordinary differential equations (1)
- Periodic orbits (1)
- Reproduction numbers (1)
- Seir model (1)
- Sensitivity analysis (1)
- Stability (1)
- Texas (1)
- Transmission (1)
- Tuberculosis (1)
- Uncertainty (1)
- Vector competence (1)
- Vibrio cholerae (1)
- Virus (1)
Articles 1 - 2 of 2
Full-Text Articles in Biology
An Epidemiological Model Of Rift Valley Fever With Spatial Dynamics, Tianchan Niu, Holly D. Gaff, Yiannis E. Papelis, David M. Hartley
An Epidemiological Model Of Rift Valley Fever With Spatial Dynamics, Tianchan Niu, Holly D. Gaff, Yiannis E. Papelis, David M. Hartley
Biological Sciences Faculty Publications
As a category A agent in the Center for Disease Control bioterrorism list, Rift Valley fever (RVF) is considered a major threat to the United States (USA). Should the pathogen be intentionally or unintentionally introduced to the continental USA, there is tremendous potential for economic damages due to loss of livestock, trade restrictions, and subsequent food supply chain disruptions. We have incorporated the effects of space into a mathematical model of RVF in order to study the dynamics of the pathogen spread as affected by the movement of humans, livestock, and mosquitoes. The model accounts for the horizontal transmission of …
A Generalized Cholera Model And Epidemic-Endemic Analysis, Jin Wang, Shu Liao
A Generalized Cholera Model And Epidemic-Endemic Analysis, Jin Wang, Shu Liao
Mathematics & Statistics Faculty Publications
The transmission of cholera involves both human-to-human and environment-to-human pathways that complicate its dynamics. In this paper, we present a new and unified deterministic model that incorporates a general incidence rate and a general formulation of the pathogen concentration to analyse the dynamics of cholera. Particularly, this work unifies many existing cholera models proposed by different authors. We conduct equilibrium analysis to carefully study the complex epidemic and endemic behaviour of the disease. Our results show that despite the incorporation of the environmental component, there exists a forward transcritical bifurcation at R0 = 1 for the combined human-environment epidemiological …