Results 61 to 70 of about 527 (114)

A new proof of the competitive exclusion principle in the chemostat

open access: yes, 2017
We give an new proof of the well-known competitive exclusion principle in the chemostat model with $n$ species competing for a single resource, for any set of increasing growth functions. The proof is constructed by induction on the number of the species,
Rapaport, Alain, Veruete, Mario
core  

Yorke and Wright 3/2-stability theorems from a unified point of view [PDF]

open access: yes, 2003
We consider a family of scalar delay differential equations $x'(t)=f(t,x_t)$, with a nonlinearity $f$ satisfying a negative feedback condition combined with a boundedness condition.
Aplicada Ii   +4 more
core   +1 more source

Role of limited medical resources in an epidemic model with media report and general birth rate

open access: yesInfectious Disease Modelling
This paper formulates an SEIRSHM epidemic model with general birth rate, media report and limited medical resources. Firstly, the well-posedness of the solutions and the extinction of the disease are discussed.
Yicheng Hao, Yantao Luo, Zhidong Teng
doaj   +1 more source

Permanence and almost periodic solution of a multispecies Lotka-Volterra mutualism system with time varying delays on time scales

open access: yes, 2015
In this paper, we consider the almost periodic dynamics of a multispecies Lotka-Volterra mutualism system with time varying delays on time scales. By establishing some dynamic inequalities on time scales, a permanence result for the model is obtained ...
Li, Yongkun, Wang, Pan
core   +1 more source

Stability of Integro Differential Equations with Impulses [PDF]

open access: yes, 2007
Sufficient conditions have been derived for the asymptotic stability of the trivial solutions of a class of linear integrodifferential equations under impulsive per-turbations.
Sariyasa, S. (Sariyasa)
core  

Dynamics of a non-autonomous delay mosquito population suppression model with Wolbachia-infected male mosquitoes

open access: yesJournal of Biological Dynamics
In this paper, we develop a non-autonomous delay differential equation model for mosquito population suppression. After establishing the positiveness and boundedness of the solutions, we study the dynamical behaviours of the model with or without ...
Yufeng Wang, Jianshe Yu
doaj   +1 more source

Hopf bifurcation in a dynamic IS-LM model with time delay [PDF]

open access: yes
The paper investigates the impact of delayed tax revenues on the fiscal policy out-comes. Choosing the delay as a bifurcation parameter we study the direction and the stability of the bifurcating periodic solutions. We show when the system is stable with
Chilarescu, Constantin   +2 more
core   +1 more source

Existence and globally exponential stability of equilibrium for fuzzy BAM neural networks with distributed delays and impulse

open access: yesAdvances in Difference Equations, 2011
In this article, fuzzy bi-directional associative memory neural networks with distributed delays and impulses are considered. Some sufficient conditions for the existence and globally exponential stability of unique equilibrium point are established ...
Liao Daixi, Yang Lihui, Zhang Qianhong
doaj  

Periodic dynamics of a general switching dynamical system

open access: yesEuropean Journal of Applied Mathematics
Seasonal changes and cyclical human activities (such as periodic fishing bans, Wolbachia-based mosquito population control, and school term breaks) have significant impacts on population dynamics.
Qian Ding   +4 more
doaj   +1 more source

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