Results 61 to 70 of about 99,559 (165)

Oscillations in three‐reaction quadratic mass‐action systems

Studies in Applied Mathematics, Volume 152, Issue 1, Page 249-278, January 2024.
Abstract It is known that rank‐two bimolecular mass‐action systems do not admit limit cycles. With a view to understanding which small mass‐action systems admit oscillation, in this paper we study rank‐two networks with bimolecular source complexes but allow target complexes with higher molecularities.
Murad Banaji, Balázs Boros, Josef Hofbauer   +2 more
wiley   +1 more source

Bifurcation analysis of modified Leslie-Gower predator-prey model with double Allee effect

Ain Shams Engineering Journal, 2018
In the present article, a modified Leslie-Gower predator-prey model with double Allee effect, affecting the prey population, is proposed and analyzed. We have considered both strong and weak Allee effects separately.
Manoj Kumar Singh, B.S. Bhadauria, Brajesh Kumar Singh   +2 more
doaj   +1 more source

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

Dynamics of a Predator-Prey System with a Mate-Finding Allee Effect

Abstract and Applied Analysis, 2014
We consider a ratio-dependent predator-prey system with a mate-finding Allee effect on prey. The stability properties of the equilibria and a complete bifurcation analysis, including the existence of a saddle-node, a Hopf bifurcation, and, a Bogdanov ...
Ruiwen Wu, Xiuxiang Liu
doaj   +1 more source

Bifurcation Analysis of the Dynamics in COVID‐19 Transmission through Living and Nonliving Media

Journal of Applied Mathematics, Volume 2024, Issue 1, 2024.
Transmission of COVID‐19 occurs either through living media, such as interaction with a sufferer, or nonliving objects contaminated with the virus. Recovering sufferers and disinfectant spraying prevent interaction between people and virus become the treatment to overcome it.
Ario Wiraya, Laila Fitriana, Triyanto, Yudi Ari Adi, Yuvita Andriani Kusumadewi, Sarah Khoirunnisa, Fernando Simoes   +6 more
wiley   +1 more source

Bifurcation and Global Stability of a SEIRS Model With a Modified Nonlinear Incidence Rate

Journal of Applied Mathematics, Volume 2024, Issue 1, 2024.
In this work, a SEIRS (susceptible–exposed–infected–recovered–susceptible) model with modified nonlinear incidence rate is considered. The incidence rate illustrates how the number of infected individuals initially increases at the onset of a disease, subsequently decreases due to the psychological effect, and ultimately reaches saturation due to the ...
Shilan Amin, Saiwan Majeed, Sozan Aziz, Arkan Mustafa, Kamal Kumar   +4 more
wiley   +1 more source

Spatiotemporal patterns in the Turing-Takens-Bogdanov scenario [PDF]

, 2020
[eng] Some spatial dinamical systems exhibit, for close values of the parameter, diffusion drive instability (Turing bifurcation) and a Homoclinic bifurcation of the homogeneous solution. However, the interaction between these bifurcations has not been
Moreno Spiegelberg, Pablo
core  

Stability of non-parallel flow in a channel

Le Matematiche, 1991
This is a review of several generalizations of Hiemenz's classic solution for steady two-dimensional flow of a uniform incompressible viscous fluid near a stagnation point on a bluff body.
Philip G. Drazin
doaj  

Multiple bifurcations of a Leslie-type predator-prey model with additional food in predators

Xi'an Gongcheng Daxue xuebao
To investigate the impact of additional food for predators, a Leslie-Gower type predator-prey model with a Holling type Ⅲ functional response is established, assuming that the predator has multiple food sources.By applying the fundamental theorem of ...
LIU Junli, GUO Zhenghua
doaj   +1 more source

A Note on the Bogdanov–Takens Bifurcation in the Romer Model with Learning by Doing

, 2017
This paper is aimed at describing the whole set of necessary and sufficient conditions for the emergence of multiple equilibria and global indeterminacy in the standard endogenous growth framework with learning by doing.
Giovanni Bella, BELLA, GIOVANNI
core   +1 more source