Results 21 to 30 of about 236 (105)
Open Mathematics, 2019 In this paper, we consider a Beddington-DeAngelis predator-prey system with stage structure for predator and time delay incorporating prey refuge. By analyzing the characteristic equations, we study the local stability of the equilibrium of the system ...
Xiao Zaowang +3 more
doaj +1 more source
An equivalence theorem concerning population growth in a variable environment
International Journal of Mathematics and Mathematical Sciences, Volume 2003, Issue 43, Page 2747-2758, 2003., 2003 We give conditions under which two solutions x and y of the Kolmogorov equation x˙=xf(t,x) satisfy limy(t)/x(t) = 1 as t → ∞. This conclusion is important for two reasons: it shows that the long‐time behavior of the population is independent of the initial condition and it applies to ecological systems in which the coefficients are time dependent.
Ray Redheffer, Richard R. Vance
wiley +1 more source
Open Mathematics, 2016 This paper addresses the problem of robust fault-tolerant control design scheme for a class of Takagi-Sugeno fuzzy systems subject to interval time-varying delay and external disturbances.
Sun Chao, Wang Fuli, He Xiqin
doaj +1 more source
Mathematical Problems in Engineering, Volume 2003, Issue 1, Page 25-45, 2003., 2003 We extend the notion of dissipative dynamical systems to formalize the concept of the nonlinear analog of strict positive realness and strict bounded realness. In particular, using exponentially weighted system storage functions with appropriate exponentially weighted supply rates, we introduce the concept of exponential dissipativity.
VijaySekhar Chellaboina +1 more
wiley +1 more source
Time-varying vector norm and lower and upper bounds on the solutions of uniformly asymptotically stable linear systems [PDF]
Mathematics, 2020, 2019 Based on the eigenvalue idea and the time-varying weighted vector norm in state space we construct here the lower and upper bounds on the solutions of uniformly asymptotically stable linear systems. We generalize the known results for the linear time-invariant systems to the linear time-varying ones.
arxiv +1 more source
Global properties of virus dynamics with B-cell impairment
Open Mathematics, 2019 In this paper we construct a class of virus dynamics models with impairment of B-cell functions. Two forms of the incidence rate have been considered, saturated and general. The well-posedness of the models is justified.
Elaiw Ahmed M. +2 more
doaj +1 more source
Global stability of a distributed delayed viral model with general incidence rate
Open Mathematics, 2018 In this paper, we discussed a infinitely distributed delayed viral infection model with nonlinear immune response and general incidence rate. We proved the existence and uniqueness of the equilibria.
Ávila-Vales Eric +2 more
doaj +1 more source
Stability property of the prey free equilibrium point
Open Mathematics, 2019 We revisit a prey-predator model with stage structure for predator, which was proposed by Tapan Kumar Kar. By using the differential inequality theory and the comparison theorem of the differential equation, we show that the prey free equilibrium is ...
Yue Qin
doaj +1 more source
Stability analysis of SIR and SIRS models with non monotone incidence function and various mortality rates [PDF]
arXiv, 2023 This study uses the Lyapunov method, the Poincar\'e-Bendixson theorem, and the Dulac criterion to analyze the stability of SIR and SIRS with non-monotone incidence and different mortality rates.
arxiv
On the robustness of networks of heterogeneous semi-passive systems interconnected over directed graphs [PDF]
arXiv, 2023 In this short note we provide a proof of boundedness of solutions for a network system composed of heterogeneous nonlinear autonomous systems interconnected over a directed graph. The sole assumptions imposed are that the systems are semi-passive [1] and the graph contains a spanning tree.
arxiv