Results 41 to 50 of about 179 (115)
Optimal Control for a Tuberculosis Model with Exogenous Reinfection under the Influence of Stigma
Computational and Mathematical Biophysics, 2022 Often described as the world’s most deadly infectious disease, Tuberculosis remains a serious health threat in many parts of the world, especially in the developing countries.
Liguarda Remilou +2 more
doaj +1 more source
Generalized stability of motion of impulsive Lurie‐Postnikov systems with structural perturbation
International Journal of Stochastic Analysis, Volume 11, Issue 4, Page 481-492, 1998., 1997 This paper investigates the absolute stability on ℊs of the zero solution of Lurie‐Postnikov systems with impulses and structural perturbation. A number of absolutely stable on ℊs theorems of the Lyapunov type for Lurie‐Postnikov systems are proved, extending and generalizing previous work on the subject.
A. A. Martynyuk, I. P. Stavroulakis
wiley +1 more source
New approach to asymptotic stability: time‐varying nonlinear systems
International Journal of Mathematics and Mathematical Sciences, Volume 20, Issue 2, Page 347-366, 1997., 1995 The results of the paper concern a broad family of time‐varying nonlinear systems with differentiable motions. The solutions are established in a form of the necessary and sufficient conditions for: 1) uniform asymptotic stability of the zero state, 2) for an exact single construction of a system Lyapunov function and 3) for an accurate single ...
L. T. Grujić
wiley +1 more source
Computational and Mathematical Biophysics, 2023 Measles is a highly communicable viral infection that mostly affects children aged 5 years and below. Maternal antibodies in neonates help protect them from infectious diseases, including measles. However, maternal antibodies disappear a few months after
Opoku Samuel +2 more
doaj +1 more source
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
Dynamical analysis of a Lotka Volterra commensalism model with additive Allee effect
Open Mathematics, 2022 We propose and analyze a Lotka-Volterra commensal model with an additive Allee effect in this article. First, we study the existence and local stability of possible equilibria.
He Xiaqing +3 more
doaj +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
Within-host models of dengue virus transmission with immune response
Computational and Mathematical Biophysics, 2023 Dengue fever is an infectious viral fever. The complex behavior of the virus within the body can be explained through mathematical models to understand the virus’s dynamics.
Muthu Poosan, Modak Bikash
doaj +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
Abstract and Applied AnalysisMSC2020 Classification: 92D30, 37N25, 34D20, 92B05 ...
Philip N. A. Akuka +2 more
doaj +1 more source