Zobrazeno 1 - 10
of 45
pro vyhledávání: '"34d40"'
Autor:
Bichara, Derdei
Is it possible to break the host-vector chain of transmission when there is an influx of infectious hosts into a na\"{i}ve population and competent vector? To address this question, a class of vector-borne disease models with an arbitrary number of i
Externí odkaz:
http://arxiv.org/abs/1810.06777
Autor:
Bichara, Derdei
We formulate a multi-group and multi-vector epidemic model in which hosts' dynamics is captured by staged-progression $SEIR$ framework and the dynamics of vectors is captured by an $SI$ framework. The proposed model describes the evolution of a class
Externí odkaz:
http://arxiv.org/abs/1807.02918
Publikováno v:
Open Mathematics, Vol 20, Iss 1, Pp 608-628 (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. It is shown that the system can undergo fold bifurcation, flip bifur
Externí odkaz:
https://doaj.org/article/251a5c8072734c739e44ae5341b69d8d
Autor:
Adda, Phillipe, Bichara, Derdei
We consider SIR and SIRS models with differential mortality. Global stability of equilibria is established by using Lyapunov's method
Comment: page 2, one figure
Comment: page 2, one figure
Externí odkaz:
http://arxiv.org/abs/1112.2662
Autor:
Lagoda, Volodymyr, Parasyuk, Igor
We use the Wa\'zewski topological principle to establish a number of new sufficient conditions for the existence of proper (defined on the entire time axis) solutions of essentially nonlinear nonautonomous systems. The systems under consideration are
Externí odkaz:
http://arxiv.org/abs/0901.0234
Publikováno v:
Open Mathematics, Vol 17, Iss 1, Pp 1503-1514 (2019)
In this paper, we consider an almost periodic commensal symbiosis model with nonlinear harvesting on time scales. We establish a criterion for the existence and uniformly asymptotic stability of unique positive almost periodic solution of the system.
Externí odkaz:
https://doaj.org/article/5ca9f1365c3d49879cf55968abbb2545
Autor:
Yue Qin
Publikováno v:
Open Mathematics, Vol 17, Iss 1, Pp 646-652 (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
Externí odkaz:
https://doaj.org/article/f42aa1fe135c407d89aeb5e97ba7aeed
Publikováno v:
Open Mathematics, Vol 17, Iss 1, Pp 141-159 (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 syste
Externí odkaz:
https://doaj.org/article/14121cea79aa46ccb03ba5a608f6c698
Publikováno v:
Open Mathematics, Vol 17, Iss 1, Pp 120-130 (2019)
A discrete nonlinear almost periodic multispecies competitive system with delays and feedback controls is proposed and investigated. We obtain sufficient conditions to ensure the permanence of the system. Also, we establish a criterion for the existe
Externí odkaz:
https://doaj.org/article/f1ad9fcae7b54bcc9921e3c4fef6d2e9
Autor:
Cheban, David, Duan, Jinqiao
The article is devoted to the study of non-autonomous Navier-Stokes equations. First, the authors have proved that such systems admit compact global attractors. This problem is formulated and solved in the terms of general non-autonomous dynamical sy
Externí odkaz:
http://arxiv.org/abs/math/0409215