Threshold conditions for a family of epidemic dynamic models for malaria with distributed delays in a non-random environment
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Publication:4585088
DOI10.1142/S1793524518500857zbMath1396.92086OpenAlexW2888419958MaRDI QIDQ4585088
Publication date: 6 September 2018
Published in: International Journal of Biomathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1142/s1793524518500857
global asymptotic stabilitybasic reproduction numberLyapunov functional techniquedisease-free and endemic steady states
Related Items (8)
The stochastic extinction and stability conditions for nonlinear malaria epidemics ⋮ Global dynamics of a time-delayed malaria model with asymptomatic infections and standard incidence rate ⋮ Some asymptotic properties of SEIRS models with nonlinear incidence and random delays ⋮ A nonlinear multi-population behavioral model to assess the roles of education campaigns, random supply of AIDS, and delayed ART treatment in HIV/AIDS epidemics ⋮ The stationary distribution and stochastic persistence for a class of disease models: Case study of malaria ⋮ Modeling the Stochastic Dynamics of Influenza Epidemics with Vaccination Control, and the Maximum Likelihood Estimation of Model Parameters ⋮ On the almost sure convergence of a stochastic process in a class of nonlinear multi-population behavioral models for HIV/AIDS with delayed ART treatment ⋮ Finite- and multi-dimensional state representations and some fundamental asymptotic properties of a family of nonlinear multi-population models for HIV/AIDS with ART treatment and distributed delays
Cites Work
- A non-autonomous SEIRS model with general incidence rate
- Transmission dynamics and optimal control of measles epidemics
- Existence of periodic solutions of a periodic SEIRS model with general incidence
- Permanence and extinction of certain stochastic SIR models perturbed by a complex type of noises
- Global properties of a two-scale network stochastic delayed human epidemic dynamic model
- Global dynamics of an SEIRS epidemic model with periodic vaccination and seasonal contact rate
- Periodic oscillations and backward bifurcation in a model for the dynamics of malaria transmission
- Mathematical assessment of the role of non-linear birth and maturation delay in the population dynamics of the malaria vector
- Global stability of a delayed SIRS epidemic model with a non-monotonic incidence rate
- On the stability of an SEIR epidemic model with distributed time-delay and a general class of feedback vaccination rules
- Analysis of an SEIRS epidemic model with two delays
- Dynamics of a delayed epidemic model with non-monotonic incidence rate
- Analysis of a mosquito-borne disease transmission model with vector stages and nonlinear forces of infection
- Determining important parameters in the spread of malaria through the sensitivity analysis of a mathematical model
- The effects of pulse vaccination on SEIR model with two time delays
- Dynamical behavior of epidemiological models with nonlinear incidence rates
- Stability analysis for a vector disease model
- Cellular systems. II: Stability of compartmental systems
- A generalization of the Kermack-McKendrick deterministic epidemic model
- Global asymptotic properties of a delay SIR epidemic model with finite incubation times
- A mathematical model for endemic malaria with variable human and mosquito populations
- Global stability of a two-stage epidemic model with generalized non-linear incidence
- Analysis of the deterministic and stochastic SIRS epidemic models with nonlinear incidence
- A within-vector mathematical model of \textit{Plasmodium falciparum} and implications of incomplete fertilization on optimal gametocyte sex ratio
- Complete global analysis of a two-scale network SIRS epidemic dynamic model with distributed delay and random perturbations
- A Lyapunov function and global properties for \(SIR\) and \(SEIR\) epidemiological models with nonlinear incidence
- Asymptotic behaviors of a stochastic delayed SIR epidemic model with nonlinear incidence
- Global Hopf bifurcation and permanence of a delayed SEIRS epidemic model
- Global analysis of an epidemic model with nonmonotone incidence rate
- Global properties of a delayed SIR model with temporary immunity and nonlinear incidence rate
- Mathematical Structures of Epidemic Systems
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