Results 51 to 60 of about 707 (130)
Stability analysis in terms of two measures for dynamic systems on time scales
International Journal of Stochastic Analysis, Volume 6, Issue 4, Page 325-344, 1993., 1993 Using the theory of Lyapunov′s second method developed earlier for time scales, we extend our stability results to two measures which give rise to unification of several stability concepts in a single set up.
Billûr Kaymakçalan
wiley +1 more source
Computational and Mathematical BiophysicsTo examine the dynamics of a predator’s interaction with two prey species, this study develops a comprehensive mathematical model that accounts for ecological complexities, including the Allee effect, prey switching behavior, and prey refuge.
Kadhim Atheer Jawad +3 more
doaj +1 more source
Effect of Vaccination to COVID-19 Disease Progression and Herd Immunity
Computational and Mathematical Biophysics, 2021 A mathematical model of COVID-19 with a delay-term for the vaccinated compartment is developed. It has parameters accounting for vaccine-induced immunity delay, vaccine effectiveness, vaccination rate, and vaccine-induced immunity duration.
Caga-anan Randy L. +5 more
doaj +1 more source
International Journal of Stochastic Analysis, Volume 5, Issue 3, Page 261-274, 1992., 1991 Differential equations of the form y′ = f(t, y, y′), where f is not necessarily linear in its arguments, represent certain physical phenomena and solutions have been known for quite some time. The well known Clairut′s and Chrystal′s equations fall into this category.
M. Venkatesulu, P. D. N. Srinivasu
wiley +1 more source
Open Mathematics, 2021 The aim of this work is to study the asymptotic stability of the time-changed stochastic delay differential equations (SDDEs) with Markovian switching.
Zhang Xiaozhi +2 more
doaj +1 more source
Results in Physics, 2022 The victim-predator model has been investigated in several papers in the literature since it is considered one of the very important models. The relation between predator and victim is an important aspect of ecology. The principal object of this research
M. Higazy +4 more
doaj +1 more source
Lyapunov stability theory for dynamic systems on time scales
International Journal of Stochastic Analysis, Volume 5, Issue 3, Page 275-281, 1992., 1992 By use of the necessary calculus and the fundamental existence theory for dynamic systems on time scales, in this paper, we develop Lyapunov′s second method in the framework of general comparison principle so that one can cover and include several stability results for both types of equations at the same time.
Billur Kaymakçalan
wiley +1 more source
Halanay type inequalities on time scales with applications
, 2011 This paper aims to introduce Halanay type inequalities on time scales. By means of these inequalities we derive new global stability conditions for nonlinear dynamic equations on time scales. Giving several examples we show that beside generalization and
Adıvar, Murat, Bohner, Elvan Akın
core +1 more source
Effect of saturated treatment on malaria spread with optimal intervention
Alexandria Engineering Journal, 2023 This work presents a new deterministic model which considers transmission mode through blood transfusion and saturated treatment function with a view to gaining more insights into the dynamical spread of malaria.
S. Olaniyi +5 more
doaj +1 more source
Stability of equilibrium states in the Zhukovski case of heavy gyrostat using algebraic methods
, 2011 We study the stability of the equilibrium points of a skew product system. We analyze the possibility to construct a Lyapunov function using a set of conserved quantities and solving an algebraic system.
Aeyels +11 more
core +1 more source