The stationary distribution and stochastic persistence for a class of disease models: Case study of malaria
From MaRDI portal
Publication:4984876
DOI10.1142/S1793524520500242zbMath1465.92131arXiv1809.03866OpenAlexW3106410343MaRDI QIDQ4984876
Publication date: 21 April 2021
Published in: International Journal of Biomathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1809.03866
stationary distributionbasic reproduction numberlocal martingaleLyapunov functional techniquepermanence in the meanwhite noise intensity
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Cites Work
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- A stochastic epidemic model incorporating media coverage
- Global properties of a two-scale network stochastic delayed human epidemic dynamic model
- The effect of stochastic perturbation on a nonlinear delay malaria epidemic model
- 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
- Analysis of an SEIRS epidemic model with two delays
- Delay differential equations: with applications in population dynamics
- On the almost surely asymptotic bounds of a class of Ornstein-Uhlenbeck processes in infinite dimensions
- Determining important parameters in the spread of malaria through the sensitivity analysis of a mathematical model
- On the delayed Ross-Macdonald model for malaria transmission
- Stability analysis for a vector disease 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
- Dynamics of a stochastic SIS model with double epidemic diseases driven by Lévy jumps
- A remark on stationary distribution of a stochastic SIR epidemic model with double saturated rates
- A within-vector mathematical model of \textit{Plasmodium falciparum} and implications of incomplete fertilization on optimal gametocyte sex ratio
- A reliable numerical analysis for stochastic dengue epidemic model with incubation period of virus
- Complete global analysis of a two-scale network SIRS epidemic dynamic model with distributed delay and random perturbations
- A stochastic SIRS epidemic model with nonlinear incidence rate
- Global stability of an SIR epidemic model with delay and general nonlinear incidence
- Extinction and stationary distribution of a stochastic SIRS epidemic model with non-linear incidence
- Asymptotic behaviors of a stochastic delayed SIR epidemic model with nonlinear incidence
- A Stochastic Differential Equation SIS Epidemic Model
- Some asymptotic properties of SEIRS models with nonlinear incidence and random delays
- Threshold conditions for a family of epidemic dynamic models for malaria with distributed delays in a non-random environment
- Modeling Highly Random Dynamical Infectious Systems
