Global dynamics of tick-borne diseases
type: Item
instance of: scholarly article
title: Global dynamics of tick-borne diseases
zbMATH Open document ID: 1467.92205
author: Ardak Kashkynbayev
author: Daiana Koptleuova
published in: Mathematical Biosciences and Engineering
publication date: 2021-07-07T00:00:00Z
Mathematics Subject Classification ID: 92D30
zbMATH DE Number: 7369207
zbMATH Keywords: epidemic model
zbMATH Keywords: the basic reproduction number
zbMATH Keywords: piecewise constant argument of generalized type
zbMATH Keywords: Lyapunov functions
zbMATH Keywords: global stability
Wikidata QID: Q100312521
MaRDI profile type: Publication
full work available at URL: mbe.2020225
OpenAlex ID: W3034002420
cites work: How ticks keep ticking in the adversity of host immune reactions
cites work: Some discrete-time SI, SIR, and SIS epidemic models
cites work: On approximation of the solutions of delay differential equations by using piecewise constant arguments
cites work: On numerical approximation using differential equations with piecewise-constant arguments
cites work: Discretization of conformable fractional differential equations by a piecewise constant approximation
cites work: Q3657815
cites work: Retarded differential equations with piecewise constant delays
cites work: Advanced differential equations with piecewise constant argument deviations
cites work: Persistence, contractivity and global stability in logistic equations with piecewise constant delays
cites work: Stability analysis of a predator-prey model with piecewise constant argument of generalized type using Lyapunov functions
cites work: Global Exponential Stability of Cohen-Grossberg Neural Networks with Piecewise Constant Argument of Generalized Type and Impulses
cites work: Stability and bifurcation analysis of a mathematical model for tumor-immune interaction with piecewise constant arguments of delay
cites work: Stability analysis of a mathematical model in a microcosm with piecewise constant arguments
cites work: Nonlinear hybrid continuous/discrete-time models
cites work: Lyapunov-Razumikhin method for differential equations with piecewise constant argument
cites work: Lyapunov functions and global stability for \(SIR\) and \(SIRS\) epidemiological models with non-linear transmission
cites work: A Lyapunov function and global properties for \(SIR\) and \(SEIR\) epidemiological models with nonlinear incidence
cites work: Global asymptotic stability of an \(SIR\) epidemic model with distributed time delay.
cites work: Global stability for delay SIR and SEIR epidemic models with nonlinear incidence rate
cites work: Reproduction numbers and sub-threshold endemic equilibria for compartmental models of disease transmission
cites work: Non-linear incidence and stability of infectious disease models
cites work: Introduction to functional differential equations
cites work: Delay differential equations: with applications in population dynamics
cites work: Extinction and permanence of one-prey multi-predators of Holling type II function response system with impulsive biological control
cites work: Fractional-order delayed predator-prey systems with Holling type-II functional response
cites work: Developing a temperature-driven map of the basic reproductive number of the emerging tick vector of lyme disease \textit{Ixodes scapularis} in Canada
DOI: 10.3934/MBE.2020225
description: scientific article; zbMATH DE number 7369207