Results 31 to 40 of about 179 (115)

Bifurcation and chaos in a discrete predator-prey system of Leslie type with Michaelis-Menten prey harvesting

open access: yesOpen Mathematics, 2022
In this paper, a discrete Leslie-Gower predator-prey system with Michaelis-Menten type harvesting is studied. Conditions on the existence and stability of fixed points are obtained.
Chen Jialin   +3 more
doaj   +1 more source

Stability and stabilizability of dynamical systems with multiple time‐varying delays: delay‐dependent criteria

open access: yesMathematical Problems in Engineering, Volume 2003, Issue 4, Page 137-152, 2003., 2003
This paper deals with the class of uncertain systems with multiple time delays. The stability and stabilizability of this class of systems are considered. Their robustness are also studied when the norm‐bounded uncertainties are considered. Linear matrix inequality (LMIs) delay‐dependent sufficient conditions for both stability and stabilizability and ...
D. Mehdi, E. K. Boukas
wiley   +1 more source

Razumikhin-type theorem on time-changed stochastic functional differential equations with Markovian switching

open access: yesOpen Mathematics, 2019
This work is mainly concerned with the exponential stability of time-changed stochastic functional differential equations with Markovian switching. By expanding the time-changed Itô formula and the Razumikhin theorem, we obtain the exponential stability ...
Zhang Xiaozhi, Yuan Chenggui
doaj   +1 more source

Effect of population migration and punctuated lockdown on the spread of infectious diseases

open access: yesNonautonomous Dynamical Systems, 2021
One of the critical measures to control infectious diseases is a lockdown. Once past the lockdown stage in many parts of the world, the crucial question now concerns the effects of relaxing the lockdown and finding the best ways to implement further ...
Kiran Ravi   +3 more
doaj   +1 more source

On eventual stability of impulsive systems of differential equations

open access: yesInternational Journal of Mathematics and Mathematical Sciences, Volume 27, Issue 8, Page 485-494, 2001., 2001
The notions of Lipschitz stability of impulsive systems of differential equations are extended and the notions of eventual stability are introduced. New notions called eventual and eventual Lipschitz stability. We give some criteria and results.
A. A. Soliman
wiley   +1 more source

Almost periodic solution of a discrete competitive system with delays and feedback controls

open access: yesOpen Mathematics, 2019
A discrete nonlinear almost periodic multispecies competitive system with delays and feedback controls is proposed and investigated. We obtain sufficient conditions to ensure the permanence of the system.
Xue Yalong, Xie Xiangdong, Lin Qifa
doaj   +1 more source

A temperature-dependent mathematical model of malaria transmission with stage-structured mosquito population dynamics

open access: yesNonautonomous Dynamical Systems, 2021
In this paper, we formulate a temperature-dependent model for malaria transmission dynamics which includes immature stages of mosquitoes. The model is constructed by using ordinary differential equations with some parameters which are periodic functions.
Traoré Bakary   +3 more
doaj   +1 more source

The strict stability of dynamic systems on time scales

open access: yesInternational Journal of Stochastic Analysis, Volume 14, Issue 2, Page 195-204, 2001., 2001
The strict stability of dynamic systems on time scales is examined with sufficient conditions. Results analogous to Lyapunov′s theorems ae proved and discussed using a comparison principle.
S. Sivasundaram
wiley   +1 more source

Complex dynamics of a four-species food-web model: An analysis through Beddington-DeAngelis functional response in the presence of additional food

open access: yesComputational and Mathematical Biophysics, 2023
The four-dimensional food-web system consisting of two prey species for a generalist middle predator and a top predator is proposed and investigated. The middle predator is predating over both the prey species with a modified Holling type-II functional ...
Rani Surbhi   +2 more
doaj   +1 more source

Second method of Lyapunov for stability of linear impulsive differential‐difference equations with variable impulsive perturbations

open access: yesInternational Journal of Stochastic Analysis, Volume 11, Issue 2, Page 209-216, 1998., 1997
The present work is devoted to the study of stability of the zero solution to linear impulsive differential‐difference equations with variable impulsive perturbations. With the aid of piecewise continuous auxiliary functions, which are generalizations of the classical Lyapunov′s functions, sufficient conditions are found for the uniform stability and ...
D. D. Bainov   +2 more
wiley   +1 more source

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