Bifurcation Analysis and Application for Impulsive Systems with Delayed Impulses

DOI10.1142/S0218127417501863zbMath1383.34094OpenAlexW2781086257MaRDI QIDQ3132828

Xinzhi Liu, Kevin E. M. Church

Publication date: 30 January 2018

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218127417501863

zbMATH Keywords

bifurcation theorylogistic equationimpulsive delay differential equationsSIR model

Mathematics Subject Classification ID

Ordinary differential equations with impulses (34A37) Functional-differential equations with impulses (34K45) Bifurcation theory for ordinary differential equations (34C23) Invariant manifolds for ordinary differential equations (34C45) Bifurcation theory of functional-differential equations (34K18) Invariant manifolds of functional-differential equations (34K19)

Related Items (5)

Stability in the critical case and bifurcations in impulsive systems ⋮ Computation of centre manifolds and some codimension-one bifurcations for impulsive delay differential equations ⋮ Dynamical Behaviors of a Pest Epidemic Model with Impulsive Control Over a Patchy Environment ⋮ Optimality and sustainability of delayed impulsive harvesting ⋮ Smooth centre manifolds for impulsive delay differential equations

Uses Software

• MATCONT

Cites Work

• Unnamed Item
• Unnamed Item
• Comparing malaria surveillance with periodic spraying in the presence of insecticide-resistant mosquitoes: should we spray regularly or based on human infections?
• Impulsive mathematical modeling of ascorbic acid metabolism in healthy subjects
• Mathematical modelling and analysis of the tumor treatment regimens with pulsed immunotherapy and chemotherapy
• Infectious disease models with time-varying parameters and general nonlinear incidence rate
• Dynamics of an ecological model with impulsive control strategy and distributed time delay
• Species permanence and dynamical behavior analysis of an impulsively controlled ecological system with distributed time delay
• Global analysis of an impulsive delayed Lotka-Volterra competition system
• The dynamics of an impulsive predator-prey model with communicable disease in the prey species only
• Optimal impulsive harvesting policy for single population
• New features of the software M<scp>at</scp>C<scp>ont</scp>for bifurcation analysis of dynamical systems
• Introduction to Applied Nonlinear Dynamical Systems and Chaos
• Elements of applied bifurcation theory

This page was built for publication: Bifurcation Analysis and Application for Impulsive Systems with Delayed Impulses