Stability analysis and optimal control of a vector-borne disease with nonlinear incidence

DOI10.1155/2012/595487zbMath1253.93090OpenAlexW2103601267WikidataQ57620385 ScholiaQ57620385MaRDI QIDQ1925514

Il Hyo Jung, Abid Ali Lashari, Kazeem Oare Okosun, Muhammad Ozair

Publication date: 18 December 2012

Published in: Discrete Dynamics in Nature and Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2012/595487

zbMATH Keywords

basic reproduction numberglobal dynamicstransmission dynamicsnonlinear incidence ratevector-borne disease

Mathematics Subject Classification ID

Epidemiology (92D30) Dynamical systems in biology (37N25) Application models in control theory (93C95)

Related Items

Global stability analysis and control of leptospirosis, Stability analysis of a vector-borne disease with variable human population, Analysis of a mosquito-borne disease transmission model with vector stages and nonlinear forces of infection, Effects of mosquitoes host choice on optimal intervention strategies for malaria control, Modeling ITNs usage: optimal promotion programs versus pure voluntary adoptions, Intelligent computing networks for nonlinear influenza-A epidemic model, Qualitative analysis and sensitivity based optimal control of pine wilt disease, Analysis of a dengue disease model with nonlinear incidence, Dynamics of a time-delayed SIR epidemic model with logistic growth and saturated treatment, Global stability of a host-vector model for pine wilt disease with nonlinear incidence rate, Impact of awareness to control malaria disease: a mathematical modeling approach, Stability analysis of pine wilt disease model by periodic use of insecticides, Optimal control techniques on a mathematical model for the dynamics of Tungiasis in a community, Control measures of pine wilt disease, Analysis of pine wilt disease model with nonlinear incidence and horizontal transmission, Application of optimal control theory to Newcastle disease dynamics in village chicken by considering wild birds as reservoir of disease virus, Dynamical Study of a Vector Host Epidemic Model With Non-Monotone Incidence

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Optimal control of a vector borne disease with horizontal transmission
• Presentation of malaria epidemics using multiple optimal controls
• Global dynamics of vector-borne diseases with horizontal transmission in host population
• Global dynamics of a dengue epidemic mathematical model
• Global analysis of a vector-host epidemic model with nonlinear incidences
• Determining important parameters in the spread of malaria through the sensitivity analysis of a mathematical model
• Backward bifurcation of an epidemic model with saturated treatment function
• Three kinds of TVS in a SIR epidemic model with saturated infectious force and vertical transmission
• Analysis of a simple vector-host epidemic model with direct transmission
• Optimal control of vector-borne diseases: Treatment and prevention
• Dynamical behavior of epidemiological models with nonlinear incidence rates
• A generalization of the Kermack-McKendrick deterministic epidemic model
• Dynamical behavior of an epidemic model with a nonlinear incidence rate
• Global analysis of an epidemic model with nonmonotone incidence rate
• Epidemic models with nonlinear infection forces
• Uniformly Persistent Systems
• Uniformly Persistent Semidynamical Systems
• A Geometric Approach to Global-Stability Problems