Results 31 to 40 of about 1,832 (165)
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
Size-structured populations: immigration, (bi)stability and the net growth rate [PDF]
, 2009 We consider a class of physiologically structured population models, a first order nonlinear partial differential equation equipped with a nonlocal boundary condition, with a constant external inflow of individuals. We prove that the linearised system is
A.S. Ackleh +23 more
core +2 more sources
Open Mathematics, 2016 A two species non-autonomous competitive phytoplankton system with Beddington-DeAngelis functional response and the effect of toxic substances is proposed and studied in this paper.
Chen Fengde +2 more
doaj +1 more source
Nonautonomous Dynamical Systems, 2022 A non-autonomous discrete commensal symbiosis model with Hassell-Varley type functional response is proposed and studied in this paper. Sufficient conditions are obtained for the existence of positive periodic solution of the system.
Chen Shangming, Chong Yanbo, Chen Fengde
doaj +1 more source
Global stability of a modified Leslie-Gower model with Beddington-DeAngelis functional response
, 2014 A predator-prey model with modified Leslie-Gower and Beddington-DeAngelis functional response is studied. The local stability of the equilibria and the permanence of the system are investigated. By applying the fluctuation lemma, qualitative analysis and
Shengbin Yu
semanticscholar +1 more source
The threshold of a stochastic SIQS epidemic model
, 2014 In this paper, we discuss the dynamics of a stochastic SIQS epidemic model. When the noise is large, the infective decays exponentially to zero regardless of the magnitude of R0. When the noise is small, sufficient conditions for extinction exponentially
Yanni Pang, Yuecai Han, Wenjin Li
semanticscholar +1 more source
A Mixed‐Culture Model of a Probiotic Biofilm Control System
Computational and Mathematical Methods in Medicine, Volume 11, Issue 2, Page 99-118, 2010., 2010 We present a mathematical model and computer simulations for the control of a pathogenic biofilm by a probiotic biofilm. This is a substantial extension of a previous model of control of a pathogenic biofilm by microbial control agents that are suspended in the aqueous bulk phase (H. Khassehkhan and H.J. Eberl, Comp. Math. Meth.
Hermann J. Eberl +2 more
wiley +1 more source
Sufficient and necessary condition for the permanence of periodic predator‐prey system
International Journal of Mathematics and Mathematical Sciences, Volume 2004, Issue 43, Page 2307-2323, 2004., 2004 We consider the permanence of a periodic predator‐prey system, where the prey disperse in a two‐patch environment. We assume the Volterra within‐patch dynamics and provide a sufficient and necessary condition to guarantee the predator and prey species to be permanent by using the techniques of inequality analysis.
Jingan Cui, Xinyu Song
wiley +1 more source
Discrete Dynamics in Nature and Society, Volume 2004, Issue 2, Page 325-343, 2004., 2004 The existence of positive periodic solutions for a delayed discrete predator‐prey model with Holling‐type‐III functional response N1(k+1)=N1(k)exp{b1(k)-a1(k)N1(k-[τ1])-α1(k)N1(k)N2(k)/(N12(k)+m2N22(k))}, N2(k+1)=N2(k)exp{-b2(k)+α2(k)N12(k-[τ2])/(N12(k-[τ2])+m2N22(k-[τ2]))} is established by using the coincidence degree theory.
Lin-Lin Wang, Wan-Tong Li
wiley +1 more source
Spatial stochastic predator-prey models [PDF]
, 2006 We consider a broad class of stochastic lattice predator-prey models, whose main features are overviewed. In particular, this article aims at drawing a picture of the influence of spatial fluctuations, which are not accounted for by the deterministic ...
Georgiev, Ivan T. +2 more
core +1 more source