Results 61 to 70 of about 856 (156)
A Fractional‐Order Peer Influence Mathematical Model
Journal of Applied Mathematics, Volume 2025, Issue 1, 2025.In this article, a fractional‐order mathematical model is used to simulate peer influence using the Liouville–Caputo framework. Our model was made up of four states, which describe friends, negatively behaved friends, parental guidance, and positively behaved friends.
Patience Pokuaa Gambrah +5 more
wiley +1 more source
Solutions to Lyapunov stability problems: nonlinear systems with continuous motions
International Journal of Mathematics and Mathematical Sciences, Volume 17, Issue 3, Page 587-596, 1994., 1992 The necessary and sufficient conditions for accurate construction of a Lyapunov function and the necessary and sufficient conditions for a set to be the asymptotic stability domain are algorithmically solved for a nonlinear dynamical system with continuous motions. The conditions are established by utilizing properties of o‐uniquely bounded sets, which
Ljubomir T. Grujić
wiley +1 more source
Open 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 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
Effect of population migration and punctuated lockdown on the spread of infectious diseases
Nonautonomous 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
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
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
Nonautonomous 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
STABILITY OF NEURAL NETWORKS WITH RANDOM IMPULSES
Dynamic systems and applications, 2018 One of the main properties of solutions of neural networks is stability and often the direct Lyapunov method is used to study stability properties. We consider the Hopfield’s graded response neural network in the case when the neurons are subject to a ...
S. Hristova, P. Kopanov
semanticscholar +1 more source
Mathematical modeling of Zika disease in pregnant women and newborns with microcephaly in Brazil
, 2017 We propose a new mathematical model for the spread of Zika virus. Special attention is paid to the transmission of microcephaly. Numerical simulations show the accuracy of the model with respect to the Zika outbreak occurred in Brazil.Comment: This is a ...
Area, Ivan +4 more
core +1 more source