[图书][B] Bifurcation theory of impulsive dynamical systems

KEM Church, X Liu - 2021 - Springer
Impulsive dynamical systems have become increasingly popular during the past decades
because they provide a natural framework for mathematical modeling of many real-world …

[图书][B] Bifurcation in autonomous and nonautonomous differential equations with discontinuities

M Akhmet, A Kashkynbayev - 2017 - Springer
This book is devoted to bifurcation theory in discontinuous dynamical systems. The main
novelty is the consideration of bifurcation in differential and hybrid equations by means of …

Unexpected infection spikes in a model of respiratory syncytial virus vaccination

RJ Smith?, AB Hogan, GN Mercer - Vaccines, 2017 - mdpi.com
Respiratory Syncytial Virus (RSV) is an acute respiratory infection that infects millions of
children and infants worldwide. Recent research has shown promise for the development of …

Applications of impulsive differential equations to the control of malaria outbreaks and introduction to impulse extension equations: a general framework to study the …

K Church - 2014 - ruor.uottawa.ca
Impulsive differential equations are often used in mathematical modelling to simplify
complicated hybrid models. We propose an inverse framework inspired by impulsive …

[PDF][PDF] Existence and uniqueness of solutions of general impulsive extension equations with specification to linear equations

KEM Church, RJ Smith - Dyn. Contin. Discrete Impuls …, 2015 - mysite.science.uottawa.ca
1 Introduction Page 1 Dynamics of Continuous, Discrete and Impulsive Systems Series B:
Applications & Algorithms 22 (2015) 163-197 Copyright c 2015 Watam Press EXISTENCE …

[HTML][HTML] Continuous approximation of linear impulsive systems and a new form of robust stability

KEM Church - Journal of Mathematical Analysis and Applications, 2018 - Elsevier
The time-scale tolerance for linear ordinary impulsive differential equations is introduced.
How large the time-scale tolerance is directly reflects the degree to which the qualitative …

A new measure of robust stablity for linear ordinary impulsive differential equations

KEM Church - … and Computational Approaches in Advancing Modern …, 2016 - Springer
A new measure of robust stability for linear ordinary impulsive differential equations with
periodic structure is introduced, based on the impulse extension concept. This new stability …

Continuous Approximation

KEM Church, X Liu, KEM Church, X Liu - Bifurcation Theory of Impulsive …, 2021 - Springer
In the theory of impulsive dynamical systems, impulses are often interpreted as idealized
discrete jumps associated with a process that is continuous in time but occurs on a …