Backward bifurcation and optimal control in transmission dynamics of West Nile virus
DOI10.1007/s11538-009-9480-0zbMath1191.92024OpenAlexW2134478548WikidataQ40369441 ScholiaQ40369441MaRDI QIDQ977700
Abba B. Gumel, Kbenesh W. Blayneh, Tim Clayton, Suzanne M. Lenhart
Publication date: 23 June 2010
Published in: Bulletin of Mathematical Biology (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11538-009-9480-0
Epidemiology (92D30) Probabilistic models, generic numerical methods in probability and statistics (65C20) Applications of optimal control and differential games (49N90) Dynamical systems in biology (37N25) Qualitative investigation and simulation of ordinary differential equation models (34C60) Medical epidemiology (92C60)
Related Items (75)
Cites Work
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- A mathematical model for assessing control strategies against West Nile virus
- Modelling the dynamics of West Nile virus
- Traveling waves and spread rates for a West Nile virus model
- A comparison of continuous and discrete-time West Nile virus models
- A theoretical framework for the analysis of the West Nile virus epidemic
- Optimal control of vector-borne diseases: Treatment and prevention
- Threshold conditions for West Nile virus outbreaks
- Applications of centre manifold theory
- Optimal control of the chemotherapy of HIV
- Backwards bifurcations and catastrophe in simple models of fatal diseases
- A mathematical model for endemic malaria with variable human and mosquito populations
- A model describing the evolution of West Nile-like encephalitis in New York City
- Dynamical models of tuberculosis and their applications
- Differential equations. Classical to controlled
- Optimal control of treatments in a two-strain tuberculosis model
- Reproduction numbers and sub-threshold endemic equilibria for compartmental models of disease transmission
- Optimal HIV treatment by maximising immune response
- Role of incidence function in vaccine-induced backward bifurcation in some HIV models
- HIV dynamics: Modeling, data analysis, and optimal treatment protocols
- Some Vector Borne Diseases with Structured Host Populations: Extinction and Spatial Spread
- Optimal control of an HIV immunology model
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