Results 31 to 40 of about 123 (82)
, 2015 We study a Holling II predator-prey model with frequency-dependent fitness and nonzero constant harvesting rate of prey. It is shown that the model has at most one hyperbolic positive equilibrium which may be a node, focus or a center and can exhibit the
Huaying Wang +3 more
semanticscholar +1 more source
On the Lyapunov equation in Banach spaces and applications to control problems
International Journal of Mathematics and Mathematical Sciences, Volume 29, Issue 3, Page 155-166, 2002., 2002 By extending the Lyapunov equation A*Q + QA = −P to an arbitrary infinite‐dimensional Banach space, we give stability conditions for a class of linear differential systems. Relationship between stabilizability and exact null‐controllability is established.
Vu Ngoc Phat, Tran Tin Kiet
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Analysis of a ratio-dependent predator-prey interaction with epidemic in the predator
, 2015 This paper studies a kind of ratio-dependent predator-prey model. Assuming that predator populations suffered from epidemics, and the infected individuals also have some foraging capability and the predation rate is a monotonic function of the general ...
Huaying Wang +3 more
semanticscholar +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
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AN IMPROVED EXPONENTIAL STABILITY OF SWITCHED NEURAL NETWORKS WITH INTERVAL TIME-VARYING DELAY
, 2014 This paper studies the problem for exponential stability of switched neural networks with interval time-varying delay. The time delay is a continuous function belonging to a given interval, but not necessary to be differentiable. By constructing a set of
M. Rajchakit, G. Rajchakit
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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
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, 2014 This paper addresses decentralized exponential stability problem for a class of nonlinear large-scale systems with time-varying delay in interconnection is considered.
G. Rajchakit
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International Journal of Mathematics and Mathematical Sciences, Volume 2025, Issue 1, 2025.In this paper, we propose a viral model with cell‐to‐cell propagation, delayed saturated CTL immunity, and general incidence rate. Two biological threshold parameters, namely, the basic reproductive number R0 and the CTL immune reproductive number R1, are derived.
Mouhcine Naim +4 more
wiley +1 more source
Solutions to Lyapunov stability problems of sets: nonlinear systems with differentiable motions
International Journal of Mathematics and Mathematical Sciences, Volume 17, Issue 1, Page 103-112, 1994., 1993 Time‐invariant nonlinear systems with differentiable motions are considered. The algorithmic necessary and sufficient conditions are established in various forms for one‐shot construction of a Lyapunov function, for asymptotic stability of a compact invariant set and for the exact determination of the asymptotic stability domain of the invariant set ...
Ljubomir T. Grujic
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Mathematical model on influence of past experiences on present activities of human brain
Computational and Mathematical BiophysicsThis article explores how emotional feelings linked to stored memories of past experiences influence the present activity of the human brain. To analyse this, a mathematical model is considered describing the dynamics in a two-layered network in which ...
Rao P. Raja Sekhara +2 more
doaj +1 more source