Results 51 to 60 of about 1,820 (161)
On the complete phase synchronization for the Kuramoto model in the mean-field limit [PDF]
, 2014 We study the Kuramoto model for coupled oscillators. For the case of identical natural frequencies, we give a new proof of the complete frequency synchronization for all initial data; extending this result to the continuous version of the model, we ...
Benedetto, Dario +2 more
core +1 more source
Flip and Hopf Bifurcations of Discrete-Time Fitzhugh-Nagumo Model
Open Journal of Mathematical Sciences, 2018 In this paper, dynamics of a two-dimensional Fitzhugh-Nagumo model is discussed. The discrete-time model is obtained with the implementation of forward Euler’s scheme.
Qamar Din, S. Khaliq
semanticscholar +1 more source
Local exact controllability of the age‐dependent population dynamics with diffusion
Abstract and Applied Analysis, Volume 6, Issue 6, Page 357-368, 2001., 2001 We investigate the local exact controllability of a linear age and space population dynamics model where the birth process is nonlocal. The methods we use combine the Carleman estimates for the backward adjoint system, some estimates in the theory of parabolic boundary value problems in L k and the Banach fixed point theorem.
Bedr′eddine Ainseba, Sebastian Anita
wiley +1 more source
Advances in Nonlinear Analysis, 2019 This paper is concerned with the periodic traveling fronts for partially degenerate reaction-diffusion systems with bistable and time-periodic nonlinearity.
Wu Shi-Liang, Hsu Cheng-Hsiung
doaj +1 more source
Generation of interface for an Allen-Cahn equation with nonlinear diffusion
, 2009 In this note, we consider a nonlinear diffusion equation with a bistable reaction term arising in population dynamics. Given a rather general initial data, we investigate its behavior for small times as the reaction coefficient tends to infinity: we ...
Alfaro +12 more
core +3 more sources
Global stability for the prion equation with general incidence [PDF]
, 2015 We consider the so-called prion equation with the general incidence term introduced in [Greer et al., 2007], and we investigate the stability of the steady states. The method is based on the reduction technique introduced in [Gabriel, 2012]. The argument
Gabriel, Pierre
core +3 more sources
The logistic modeling population: Having harvesting factor
, 2015 : The present paper deals with the logistic equation having harvesting factor, which is studied in two cases, constant and non-constant. In fact, the nature of equilibrium points and solutions behavior has been analyzed for both of the above cases by ...
Doust M.H. Rahmani, M. Saraj
semanticscholar +1 more source
Bifurcation in a Differential-Algebra Predator-Prey System with Time Lag Effects
East Asian Journal on Applied Mathematics, 2019 A predator-prey system with Holling type II functional response and a time lag is described by a delayed differential-algebra system and the local asymptotic stability and Hopf bifurcation of such system is studied.
Weihua Jiang
semanticscholar +1 more source
Extinction in a generalized Lotka‐Volterra predator‐prey model
International Journal of Stochastic Analysis, Volume 13, Issue 3, Page 287-297, 2000., 2000 In this paper we discuss the asymptotic behavior of a predator‐prey model with distributed growth and mortality rates. We exhibit simple criteria on the parameters which guarantee that all subpopulations but one predator‐prey pair are driven to extinction as t → ∞. Finally, we present numerical simulations to illustrate the theoretical results.
Azmy S. Ackleh +2 more
wiley +1 more source
Global bifurcation of coexistence states for a prey-predator model with prey-taxis/predator-taxis
Advanced Nonlinear Studies, 2023 This article is concerned with the stationary problem for a prey-predator model with prey-taxis/predator-taxis under homogeneous Dirichlet boundary conditions, where the interaction is governed by a Beddington-DeAngelis functional response.
Li Shanbing, Wu Jianhua
doaj +1 more source