Results 91 to 100 of about 168,933 (177)

Turing and Hopf bifurcation of Gierer-Meinhardt activator-substrate model

Electronic Journal of Differential Equations, 2017
Gierer-Meinhardt model acts as one of prototypical reaction diffusion systems describing pattern formation phenomena in natural events. Bifurcation analysis, including theoretical and numerical analysis, is carried out on the Gierer-Meinhardt ...
Ranchao Wu, Yan Shao, Yue Zhou, Liping Chen   +3 more
doaj  

A Nonlinear Cross-Diffusion Model for Disease Spread: Turing Instability and Pattern Formation

Mathematics
In this article, we propose a novel nonlinear cross-diffusion framework to model the distribution of susceptible and infected individuals within their habitat using a reduced SIR model that incorporates saturated incidence and treatment rates.
Ravi P. Gupta, Arun Kumar, Shristi Tiwari   +2 more
doaj   +1 more source

Spatio-temporal secondary instabilities near the Turing-Hopf bifurcation. [PDF]

Sci Rep, 2019
Ledesma-Durán A, Aragón JL.
europepmc   +1 more source

Hopf bifurcation and hybrid control of a delayed diffusive semi-ratio-dependent predator-prey model

AIMS Mathematics
A delayed diffusive predator-prey system with nonmonotonic functional response subject to Neumann boundary conditions is introduced in this paper. First, we analyze the associated characteristic equation to research the conditions for local stability of ...
Hairong Li , Yanling Tian, Ting Huang, Pinghua Yang   +3 more
doaj   +1 more source

Turing instability mechanism of short-memory formation in multilayer FitzHugh-Nagumo network. [PDF]

Front Psychiatry, 2023
Wang J, Shen J.
europepmc   +1 more source

Formulation of the normal form of Turing-Hopf bifurcation in partial functional differential equations

, 2020
Weihua Jiang, Qi An, Junping Shi
semanticscholar   +1 more source

Pattern Formation in Mesic Savannas. [PDF]

Bull Math Biol, 2023
Patterson D, Levin S, Staver AC, Touboul J.   +3 more
europepmc   +1 more source

Influence of Allee effect on the spatiotemporal behavior of a diffusive predator-prey model with Crowley-Martin type response function. [PDF]

Sci Rep, 2023
Guin LN, Pal PJ, Alzahrani J, Ali N, Sarkar K, Djilali S, Zeb A, Khan I, Eldin SM.   +8 more
europepmc   +1 more source

Pattern Formation in a Spatially Extended Model of Pacemaker Dynamics in Smooth Muscle Cells. [PDF]

Bull Math Biol, 2022
Fatoyinbo HO, Brown RG, Simpson DJW, van Brunt B.   +3 more
europepmc   +1 more source

Spatiotemporal Patterns in a General Networked Hindmarsh-Rose Model. [PDF]

Front Physiol, 2022
Zheng Q, Shen J, Zhang R, Guan L, Xu Y.
europepmc   +1 more source