Results 71 to 80 of about 1,608 (149)

Complex dynamics of a nonlinear discrete predator-prey system with Allee effect

open access: yesOpen Mathematics
The transition between strong and weak Allee effects in prey provides a simple regime shift in ecology. In this article, we study a discrete predator-prey system with Holling type II functional response and Allee effect. First, the number of fixed points
Wang Jing, Lei Ceyu
doaj   +1 more source

Convergence in Comparable Almost Periodic Reaction-Diffusion Systems with Dirichlet Boundary Condition

open access: yes, 2013
The paper is to study the asymptotic dynamics in nonmonotone comparable almost periodic reaction-diffusion system with Dirichlet boundary condition, which is comparable with uniformly stable strongly order-preserving system. By appealing to the theory of
Cao, Feng, Fu, Yelai
core   +1 more source

Stability of pyramidal traveling fronts in time-periodic reaction–diffusion equations with degenerate monostable and ignition nonlinearities

open access: yesAdvances in Nonlinear Analysis
This article is concerned with the stability of time-periodic traveling fronts for reaction–diffusion equations with time-periodic degenerate monostable and ignition nonlinearities.
Liu Yuan-Hao, Bu Zhen-Hui, Zhang Suobing
doaj   +1 more source

Stepanov-like pseudo-almost automorphic solutions of infinite class in the alpha-norm under the light of measure theory

open access: yesNonautonomous Dynamical Systems
In this article, we study weighted Stepanov-like pseudo-almost automorphic functions with infinite delay using measure theory. We present a new concept of weighted ergodic functions, which is more general than the classical one.
Mbainadji Djendode   +2 more
doaj   +1 more source

Dynamics of particulate emissions in the presence of autonomous vehicles

open access: yesOpen Mathematics
Around one third of CO2{{\rm{CO}}}_{2} emissions in the atmosphere are linked to vehicular traffic. Pollutant agents have an impact on the environment, in particular, the increased presence of particulate matter (PM) creates negative effects on human ...
Briani Maya   +3 more
doaj   +1 more source

Generalized result on the global existence of positive solutions for a parabolic reaction-diffusion model with an m × m diffusion matrix

open access: yesDemonstratio Mathematica
The aim of this work is to study the global existence in time of solutions for the tridiagonal system of reaction-diffusion by order mm. Our techniques of proof are based on compact semigroup methods and some L1{L}^{1}-estimates.
Barrouk Nabila, Abdelmalek Karima
doaj   +1 more source

Reaction-diffusion systems with 1-homogeneous non-linearity

open access: yesElectronic Journal of Differential Equations, 2002
We describe the dynamics of a system of two reaction-diffusion equations with 1-homogeneous non-linearity. We show that either an order-preserving property holds and can be used in order to determine the limiting behaviour in some (invariant) sets or the
Matthias Bueger
doaj  

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