Dynamics of a dengue epidemic model with class-age structure
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Publication:4595282
DOI10.1142/S1793524517501091zbMath1376.92061OpenAlexW2729724644MaRDI QIDQ4595282
Kaihui Liu, Wenjing Feng, Li-Ming Cai
Publication date: 29 November 2017
Published in: International Journal of Biomathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1142/s1793524517501091
global stabilityLyapunov functionalbasic reproduction numberclass-age structuredengue epidemic model
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Cites Work
- Unnamed Item
- Age-dependency in host-vector models: the global analysis
- Global analysis of age-structured within-host virus model
- Epidemic models with age of infection, indirect transmission and incomplete treatment
- Global properties of vector-host disease models with time delays
- Transmission of Dengue hemorrhagic fever in an age structured population
- Global dynamics of a dengue epidemic mathematical model
- A reaction-diffusion malaria model with incubation period in the vector population
- On the definition and the computation of the basic reproduction ratio \(R_ 0\) in models for infectious diseases in heterogeneous populations
- Global stability of an SEIR epidemic model with age-dependent latency and relapse
- Modeling the spread and control of dengue with limited public health resources
- Backward bifurcations in dengue transmission dynamics
- A model for dengue disease with variable human population
- Analysis of a dengue disease transmission model
- Introduction to functional differential equations
- Competitive exclusion in a vector-host model for the dengue fever
- Progression age enhanced backward bifurcation in an epidemic model with super-infection
- Uniform persistence and permanence for non-autonomous semiflows in population biology
- Global stability of a host-vector model for pine wilt disease with nonlinear incidence rate
- Coexistence of different serotypes of dengue virus
- A mathematical model for Chagas disease with infection-age-dependent infectivity
- Global stability of an SVEIR epidemic model with ages of vaccination and latency
- Optimal control of a malaria model with asymptomatic class and superinfection
- Assessing the effects of vector control on dengue transmission
- Biological control of malaria: a mathematical model
- Dengue fever: Mathematical modelling and computer simulation
- Lyapunov Functions and Global Stability for Age-Structured HIV Infection Model
- Persistence in Infinite-Dimensional Systems
- Lyapunov functional and global asymptotic stability for an infection-age model
- Differential equation models of some parasitic infections: Methods for the study of asymptotic behavior
- How May Infection-Age-Dependent Infectivity Affect the Dynamics of HIV/AIDS?
- Global Attractors and Steady States for Uniformly Persistent Dynamical Systems