Analysis of a simple vector-host epidemic model with direct transmission

DOI10.1155/2010/679613zbMath1190.92029OpenAlexW2045230263WikidataQ58650865 ScholiaQ58650865MaRDI QIDQ980807

Xue-Zhi Li, Li-Ming Cai

Publication date: 29 June 2010

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

Full work available at URL: https://eudml.org/doc/226098

Mathematics Subject Classification ID

Epidemiology (92D30) Dynamical systems in biology (37N25) Stability of solutions to ordinary differential equations (34D20)

Related Items (12)

Analysis of stochastic vector-host epidemic model with direct transmission ⋮ Stability analysis of a vector-borne disease with variable human population ⋮ Stability analysis and optimal control of a vector-borne disease with nonlinear incidence ⋮ Stability analysis and optimal control of pine wilt disease with horizontal transmission in vector population ⋮ Modeling the spread of capripoxvirus among livestock and optimal vaccination strategies ⋮ Stability and Hopf bifurcation of a vector-borne disease model with saturated infection rate and reinfection ⋮ Global dynamics of vector-borne diseases with horizontal transmission in host population ⋮ Stability, bifurcation and optimal control analysis of a malaria model in a periodic environment ⋮ Hopf bifurcation and its stability for a vector-borne disease model with delay and reinfection ⋮ A biological mathematical model of vector-host disease with saturated treatment function and optimal control strategies ⋮ Existence of traveling wave solutions of a deterministic vector-host epidemic model with direct transmission ⋮ Global dynamics of a host-vector-predator mathematical model

Cites Work

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• Global dynamics of a dengue epidemic mathematical model
• Adomian decomposition approach to a SIR epidemic model with constant vaccination strategy
• A model for the transmission of malaria
• A model for dengue disease with variable human population
• A delay-differential equation model of HIV infection of \(\text{CD}4^+\) T-cells
• Global asymptotic properties of a delay SIR epidemic model with finite incubation times
• The control of vector-borne disease epidemics
• Reproduction numbers and sub-threshold endemic equilibria for compartmental models of disease transmission
• Dynamical behavior of an epidemic model with a nonlinear incidence rate
• A mathematical model for Chagas disease with infection-age-dependent infectivity
• Qualitative analyses of SIS epidemic model with vaccination and varying total population size
• Dynamical behavior of a vector-host epidemic model with demographic structure
• An epidemic model of a vector-borne disease with direct transmission and time delay
• The Mathematics of Infectious Diseases
• Virus Dynamics: A Global Analysis
• A Geometric Approach to Global-Stability Problems
• Persistence under Relaxed Point-Dissipativity (with Application to an Endemic Model)

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