The effect of demographic and environmental variability on disease outbreak for a dengue model with a seasonally varying vector population

DOI10.1016/j.mbs.2020.108516zbMath1460.92214OpenAlexW3109104305WikidataQ103756965 ScholiaQ103756965MaRDI QIDQ2657968

Linda J. S. Allen, Kaniz Fatema Nipa, Sophia R.-J. Jang

Publication date: 18 March 2021

Published in: Mathematical Biosciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.mbs.2020.108516

zbMATH Keywords

branching process approximationdengue modelcontinuous-time Markov chain (CTMC)Itô stochastic differential equations (SDE)

Mathematics Subject Classification ID

Epidemiology (92D30) Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Applications of continuous-time Markov processes on discrete state spaces (60J28)

Related Items (11)

Stochastic dynamics of an SIS epidemic on networks ⋮ The stochasticity in adherence to nonpharmaceutical interventions and booster doses and the mitigation of COVID-19 ⋮ Modelling the super-infection of two strains of dengue virus ⋮ Probability of disease extinction and outbreak in a stochastic tuberculosis model with fast-slow progression and relapse ⋮ A stochastic multi-host model for West Nile virus transmission ⋮ Lyme disease models of tick-mouse dynamics with seasonal variation in births, deaths, and tick feeding ⋮ A practical guide to mathematical methods for estimating infectious disease outbreak risks ⋮ Optimal control for dengue eradication program under the media awareness effect ⋮ On the generalized logistic random differential equation: theoretical analysis and numerical simulations with real-world data ⋮ Three-dimensional spread analysis of a Dengue disease model with numerical season control ⋮ A comparison of deterministic and stochastic plant-vector-virus models based on probability of disease extinction and outbreak

Uses Software

• sde

Cites Work

• Unnamed Item
• Computing the basic reproductive numbers for epidemiological models in nonhomogeneous environments
• Environmental variability and mean-reverting processes
• A periodic Ross-Macdonald model in a patchy environment
• Modeling dengue outbreaks
• Infinite subharmonic bifurcation in an SEIR epidemic model
• Seasonal forcing in stochastic epidemiology models
• A periodic epidemic model in a patchy environment
• Threshold dynamics for compartmental epidemic models in periodic environments
• Dynamic population epidemic models
• Analysis of a dengue disease transmission model
• Competitive exclusion in a vector-host model for the dengue fever
• Outbreak properties of epidemic models: the roles of temporal forcing and stochasticity on pathogen invasion dynamics
• The role of seasonality and import in a minimalistic multi-strain dengue model capturing differences between primary and secondary infections: complex dynamics and its implications for data analysis
• Periodic solution and stationary distribution of stochastic SIR epidemic models with higher order perturbation
• On real-valued SDE and nonnegative-valued SDE population models with demographic variability
• Nontrivial periodic solution of a stochastic epidemic model with seasonal variation
• A malaria transmission model with temperature-dependent incubation period
• Estimation of the reproduction number of dengue fever from spatial epidemic data
• A comparison of methods for calculating the basic reproductive number for periodic epidemic systems
• Approximation of the basic reproduction number \(R_{0}\) for vector-borne diseases with a periodic vector population
• The epidemic threshold of vector-borne diseases with seasonality
• On the probability of extinction in a periodic environment
• Complex behaviour in a dengue model with a seasonally varying vector population
• Epidemic threshold conditions for seasonally forced SEIR models
• The basic reproduction number in epidemic models with periodic demographics
• Periodic solution of a stochastic SIRS epidemic model with seasonal variation
• Extinction thresholds in deterministic and stochastic epidemic models
• Modeling with Itô Stochastic Differential Equations
• The final size and severity of a generalised stochastic multitype epidemic model
• Some comparison results for multitype epidemic models
• A note on a derivation method for SDE models: Applications in biology and viability criteria
• Avian Influenza Dynamics Under Periodic Environmental Conditions
• Dynamics of a Time-Delayed Lyme Disease Model with Seasonality
• Dynamical systems in population biology
• Seasonally forced disease dynamics explored as switching between attractors

This page was built for publication: The effect of demographic and environmental variability on disease outbreak for a dengue model with a seasonally varying vector population