Results 51 to 60 of about 841 (156)
On the dynamics of a class of multi-group models for vector-borne diseases [PDF]
, 2015 The resurgence of vector-borne diseases is an increasing public health concern, and there is a need for a better understanding of their dynamics. For a number of diseases, e.g.
Aberrahman Iggidr +3 more
core +5 more sources
Generalized practical stability results by perturbing Lyapunov functions
International Journal of Stochastic Analysis, Volume 9, Issue 1, Page 69-75, 1996., 1995 It is known that practical stability is neither stronger nor weaker than Lyapunov stability. In this paper we combine perturbing Lyapunov technique with stability in terms of two measures to obtain nonuniform practical stability results under weaker assumptions. We also use comparison methods to obtain these results.
Donna Stutson, A. S. Vatsala
wiley +1 more source
Estimates for Solutions of Differential Equations in a Banach Space via Commutators
Nonautonomous Dynamical Systems, 2018 In a Banach space we consider the equation dx(t)/dt = (A + B(t))×(t) (t ≥ 0), where A is a constant bounded operator, and B(t) is a bounded variable operator.Norm estimates for the solutions of the considered equation are derived in terms of the ...
Gil’ Michael
doaj +1 more source
A Dynamic SIqIRV Mathematical model with Non-linear Force of Isolation, Infection and Cure
Nonautonomous Dynamical Systems, 2022 The Susceptible-Isolated-Infected-Recovered-Vaccinated (SIqIRV) deterministic model is examined in this paper. This model considers a nonlinear force of quarantine, infection and care, where vaccinated individuals lose their immunity after a period of ...
Chatzarakis G. E. +2 more
doaj +1 more source
Exploring Stochastic Fractional Delay Integrodifferential System
Asia Pacific Journal of Mathematics. This study examines the system of stochastic fractional delay integrodifferential equations with Gaussian noise. We employ the Picard-Lindelof successive approximation scheme for existence and uniqueness.
M. L. Maheswari, Karthik Muthusamy
semanticscholar +1 more source
Stability of nonlinear systems under constantly acting perturbations
International Journal of Mathematics and Mathematical Sciences, Volume 18, Issue 2, Page 273-278, 1995., 1995 In this paper, we investigate total stability, attractivity and uniform stability in terms of two measures of nonlinear differential systems under constant perturbations. Some sufficient conditions are obtained using Lyapunov′s direct method. An example is also worked out.
Xinzhi Liu, S. Sivasundaram
wiley +1 more source
Razumikhin′s method in the qualitative theory of processes with delay
International Journal of Stochastic Analysis, Volume 8, Issue 3, Page 233-247, 1995., 1995 B.S. Razumikhin′s concept in the qualitative theory of systems delay is clarified and discussed. Various ways of improvements of stability conditions are considered. The author shows that the guiding role of Lyapunov functions and demonstrates Razumikhin′s method as a practical case of continuous version of the mathematical induction.
Anatoly D. Myshkis
wiley +1 more source
Qualitative Analysis of Nonconvolution Volterra Summation Equations
International Journal of Differential Equations, 2019 This paper is first in a series of papers in which we consider the vector nonconvolution Volterra summation equation x(t) = a(t)− t−1 ∑ s=0 C(t, s)x(s), t ∈ Z where x and a are k-vectors, k ≥ 1, while C is an k × k matrix.
Y. Raffoul
semanticscholar +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