Boundedness for impulsive delay differential equations and applications to population growth models

By Xinzhi Liu, George Ballinger. 2003

149 citations recorded by the source corpus.

Subfields: Applied Mathematics, Numerical Analysis, Public Health, Environmental and Occupational Health

View Paper: https://www.semanticscholar.org/paper/00c3ce9f1ab682b20fa1155b45c60ce93e7a6c35

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In Applied Mathematics

In Numerical Analysis

In Public Health, Environmental and Occupational Health

Citations in the corpus

On a New Model Based on Third-Order Nonlinear Multisingular Functional Differential Equations (2020, background): “,e FDEs have a huge variety of applications in many fields; to mention few of them are, models of population growth [1], electrodynamics [2], infection models of HIV-1 [3], models of tumor growth [4], models based on chemical kinetics [5], B-virus infection hepatitis models [6], models of the gene r”
Exponential stability for impulsive delay differential equations by Razumikhin method (2005, unknown): “impulsive systems [2,7,9–15].”
A Stage-Structured Predator-Prey SI Model with Disease in the Prey and Impulsive Effects (2013, background): “Generally, the theory of impulsive delay differential equations is relatively mature [9, 13] and the introduction of time delay and impulse to predator-prey models with stage-structure enriches the biological background greatly.”
Existence and global attractivity of positive periodic solutions for the impulsive delay Nicholson's blowflies model (2007, background): “Introduction The theory of impulsive differential equations has attracted the interest of many researchers in the past twenty years [1,2,11,13,12,14,16,17,26] since they provide a natural description of several real processes subject to certain perturbations whose duration is negligible in compariso”
Approximate controllability of noninstantaneous impulsive Hilfer fractional integrodifferential equations with fractional Brownian motion (2020, background): “The theory of impulsive differential equations and impulsive differential inclusions has wide applications in control, electrical engineering, mechanics and biology [11].”