Zobrazeno 1 - 10
of 4 816
pro vyhledávání: '"Center manifold"'
Publikováno v:
AIMS Mathematics, Vol 9, Iss 5, Pp 12128-12143 (2024)
In this work, the global behavior of a discrete population model $ \begin{equation*} \begin{cases} x_{n+1}& = \alpha x_n e^{-y_n}+\beta,\\ y_{n+1}& = \alpha x_n(1-e^{-y_n}), \end{cases}\quad n = 0,1,2,\dots, \end{equation*} $ is considered, whe
Externí odkaz:
https://doaj.org/article/caf572e6e35647699957c34d49c1c48f
Publikováno v:
Electronic Research Archive, Vol 32, Iss 1, Pp 405-417 (2024)
In this work, we focus on a nonlinear dynamical model proposed by Lavrentovich et al. to compute and simulate spontaneous Ca2+ oscillations evoked by calcium ion efflux in astrocytes. Selected parameters are chosen, with observation of periodic and c
Externí odkaz:
https://doaj.org/article/3b78f39a8d1d434ab2c6e26e06a965d3
Publikováno v:
Mathematics, Vol 12, Iss 18, p 2853 (2024)
The purpose of this paper is to study a predator–prey model with Allee effect and double time delays. This research examines the dynamics of the model, with a focus on positivity, existence, stability and Hopf bifurcations. The stability of the per
Externí odkaz:
https://doaj.org/article/7584fa22b50747aa8f88adbb7d1dd16e
Publikováno v:
Entropy, Vol 26, Iss 9, p 756 (2024)
The existence of breather-type solutions, i.e., solutions that are periodic in time and exponentially localized in space, is a very unusual feature for continuum, nonlinear wave-type equations. Following an earlier work establishing a theorem for the
Externí odkaz:
https://doaj.org/article/2e50234441d64bfa94027cba51acf362
Publikováno v:
Partial Differential Equations in Applied Mathematics, Vol 9, Iss , Pp 100649- (2024)
Prey–predator models play a vital role in mathematical biology. The competition that evolves between them is addressed in a broad scenario. According to genetics theory, various specie’s genotypes yield different outcomes in competition. This ins
Externí odkaz:
https://doaj.org/article/7878dbbaa3a441ed97817ab10da68cc1
Publikováno v:
Mathematical Biosciences and Engineering, Vol 20, Iss 10, Pp 18820-18860 (2023)
In this paper, we propose a spatiotemporal prey-predator model with fear and Allee effects. We first establish the global existence of solution in time and provide some sufficient conditions for the existence of non-negative spatially homogeneous equ
Externí odkaz:
https://doaj.org/article/ac36f843764947749d65e33865f1f58c
Autor:
Haiping Pan, Yiqiu Mao
Publikováno v:
AIMS Mathematics, Vol 8, Iss 10, Pp 24681-24698 (2023)
Our main objective of this research is to study the dynamic transition for diffusive chemotactic systems modeled by Keller-Segel equations in a rectangular domain. The main tool used is the recently developed dynamic transition theory. Through a redu
Externí odkaz:
https://doaj.org/article/2356b7ee6a6b4895a828c865d99d869b
Publikováno v:
Ain Shams Engineering Journal, Vol 14, Iss 11, Pp 102514- (2023)
In this paper, we explore the existence of fixed points, local dynamical characteristics at fixed points, the existence of bifurcation sets at fixed points, and bifurcations of a three-species discrete prey-predator system with the scavenger. More sp
Externí odkaz:
https://doaj.org/article/7fa5eead5df740bab3abae6e5226cda3
Publikováno v:
Advances in Nonlinear Analysis, Vol 12, Iss 1, Pp 983-1046 (2023)
This article deals with approximations of center manifolds for delay stochastic differential equations with additive noise. We first prove the existence and smoothness of random center manifolds for these approximation equations. Then we show that th
Externí odkaz:
https://doaj.org/article/c35a10790f9c41cda5889ddc0f00a10f