Bifurcation Analysis of a Mosquito Population Model with a Saturated Release Rate of Sterile Mosquitoes

DOI10.1137/18M1208435zbMath1428.34066WikidataQ127815288 ScholiaQ127815288MaRDI QIDQ5238217

No author found.

Publication date: 28 October 2019

Published in: SIAM Journal on Applied Dynamical Systems (Search for Journal in Brave)

zbMATH Keywords

Bogdanov-Takens bifurcationsterile mosquitoesrelease rateHopf bifurcation of codimension 3nilpotent cusp of codimension 4wild mosquitoes

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Bifurcation theory for ordinary differential equations (34C23) Population dynamics (general) (92D25) Stability of solutions to ordinary differential equations (34D20) Qualitative investigation and simulation of ordinary differential equation models (34C60) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37)

Related Items (16)

Dynamics of a mosquito population suppression model with a saturated \textit{Wolbachia} release rate ⋮ Dynamics of a ratio-dependent Leslie-Gower predator-prey model with Allee effect and fear effect ⋮ Malaria modeling and optimal control using sterile insect technique and insecticide-treated net ⋮ Bifurcation analysis of a new aquatic ecological model with aggregation effect ⋮ Slow-fast dynamics and nonlinear oscillations in transmission of mosquito-borne diseases ⋮ A mosquito population suppression model with a saturated \textit{Wolbachia} release strategy in seasonal succession ⋮ Finding Strategies to Regulate Propagation and Containment of Dengue via Invariant Manifold Analysis ⋮ Spatiotemporal Patterns in a Lengyel–Epstein Model Near a Turing–Hopf Singular Point ⋮ Codimension-2 bifurcation analysis and control of a discrete mosquito model with a proportional release rate of sterile mosquitoes ⋮ Visualization of Four Limit Cycles in Near-Integrable Quadratic Polynomial Systems ⋮ Stability analysis in a mosquito population suppression model ⋮ Four positive equilibria in a model for sterile and wild mosquito populations ⋮ Study of the sterile insect release technique for a two-sex mosquito population model ⋮ Effects of sterile males and fertility of infected mosquitoes on mosquito-borne disease dynamics ⋮ A mathematical model for biodiversity diluting transmission of Zika virus through competition mechanics ⋮ Impulsive release strategies of sterile mosquitos for optimal control of wild population

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Bogdanov-Takens bifurcation of codimension 3 in a predator-prey model with constant-yield predator harvesting
• Impact of environmental factors on mosquito dispersal in the prospect of sterile insect technique control
• Bifurcation analysis in a predator-prey model with constant-yield predator harvesting
• Parametric normal forms for Bogdanov-Takens singularity; the generalized saddle-node case
• Spectral sequences and parametric normal forms
• 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
• Bifurcations of planar vector fields. Nilpotent singularities and Abelian integrals
• A system with three limit cycles appearing in a Hopf bifurcation and dying in a homoclinic bifurcation: The cusp of order 4
• Bifurcations in a predator-prey system of Leslie type with generalized Holling type III functional response
• Codimension 3 B-T bifurcations in an epidemic model with a nonlinear incidence
• Insecticide-resistant mosquitoes and malaria control
• Consequences of double Allee effect on the number of limit cycles in a predator-prey model
• Mathematical model to assess the control of \textit{Aedes aegypti} mosquitoes by the sterile insect technique
• Simple mathematical models for interacting wild and transgenic mosquito populations
• Impact of mating behaviour on the success of malaria control through a single inundative release of transgenic mosquitoes
• Optimal control of insects through sterile insect release and habitat modification
• COMPUTATION OF NORMAL FORMS VIA A PERTURBATION TECHNIQUE
• FORMAL DECOMPOSITION METHOD AND PARAMETRIC NORMAL FORMS
• Stage-structured wild and sterile mosquito population models and their dynamics
• Three Limit Cycles in a Leslie–Gower Predator-Prey Model with Additive Allee Effect
• Generic 3-parameter families of vector fields on the plane, unfolding a singularity with nilpotent linear part. The cusp case of codimension 3
• Bifurcation Analysis of a Predator-Prey System with Nonmonotonic Functional Response
• The simplest normal form of Hopf bifurcation
• Dynamics of Mosquitoes Populations with Different Strategies for Releasing Sterile Mosquitoes
• SIMPLEST NORMAL FORMS OF HOPF AND GENERALIZED HOPF BIFURCATIONS

This page was built for publication: Bifurcation Analysis of a Mosquito Population Model with a Saturated Release Rate of Sterile Mosquitoes