Impact of environmental factors on mosquito dispersal in the prospect of sterile insect technique control

DOI10.1016/j.camwa.2013.03.024zbMath1345.34105OpenAlexW2046584211WikidataQ57082218 ScholiaQ57082218MaRDI QIDQ316248

Yves Dumont, Claire Dufourd

Publication date: 27 September 2016

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2013.03.024

zbMATH Keywords

operator splittingadvection diffusion reaction equationimpulse differential equationmosquito dispersalnonstandard finite difference methodsterile insect technique

Mathematics Subject Classification ID

Ordinary differential equations with impulses (34A37) Population dynamics (general) (92D25) Stability of solutions to ordinary differential equations (34D20)

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Uses Software

• R
• Scilab
• TR-BDF2
• pchip

Cites Work

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• Existence of periodic solutions of ordinary differential equations
• Waves of extinction from sterile insect release
• Mathematical studies on the sterile insect technique for the Chikungunya disease and Aedes albopictus
• Mathematical modeling of sterile insect technology for control of anopheles mosquito
• Multidimensional upwind methods for hyperbolic conservation laws
• On a temporal model for the Chikungunya disease: modeling, theory and numerics
• On a diffusion model for sterile insect release
• Nonlinear control systems. II
• Analysis and implementation of TR-BDF2
• Vector control for the Chikungunya disease
• Analysis of operator splitting for advection-diffusion-reaction problems from air pollution modelling
• Dynamically consistent nonstandard finite difference schemes for epidemiological models
• Solving the advection-diffusion equation with the Eulerian--Lagrangian localized adjoint method on unstructured meshes and non uniform time stepping
• CONSERVATION OF ENDANGERED ENDEMIC SEABIRDS WITHIN A MULTI-PREDATOR CONTEXT: THE BARAU'S PETREL IN RÉUNION ISLAND
• High Order Weighted Essentially Nonoscillatory Schemes for Convection Dominated Problems
• Monotone Piecewise Cubic Interpolation
• Decomposition techniques for large-scale systems with nonadditive interactions: Stability and stabilizability
• Stability Analysis and Dynamics Preserving Nonstandard Finite Difference Schemes for a Malaria Model
• Modeling and Simulations of Mosquito Dispersal. The Case of Aedes albopictus
• A patchy model for Chikungunya-like diseases

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