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 +4 more
wiley +1 more source
Bogdanov-Takens bifurcation for neutral functional differential equations
Electronic Journal of Differential Equations, 2013 In this article, we consider a class of neutral functional differential equations (NFDEs). First, some feasible assumptions and algorithms are given for the determination of Bogdanov-Takens (B-T) singularity.
Jianzhi Cao, Rong Yuan
doaj
Bifurcation Analysis of an SIR Epidemic Model with the Contact Transmission Function
Abstract and Applied Analysis, 2014 We consider an SIR endemic model in which the contact transmission function is related to the number of infected population. By theoretical analysis, it is shown that the model exhibits the bistability and undergoes saddle-node bifurcation, the Hopf ...
Guihua Li, Gaofeng Li
doaj +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 +2 more
doaj +1 more source
A Nonlinear Cross-Diffusion Model for Disease Spread: Turing Instability and Pattern Formation
MathematicsIn 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 +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
Chaotic dynamics of the Bianchi IX universe in Gauss-Bonnet gravity
, 2013 We investigate the dynamics of closed FRW universe and anisotropic Bianchi type-IX universe characterized by two scale factors in a gravity theory including a higher curvature (Gauss-Bonnet) term.
Kawai, Shinsuke, Kim, Edward J.
core +1 more source
Theoretical conditions for the coexistence of viral strains with differences in phenotypic traits: a bifurcation analysis [PDF]
Royal Society Open Science, 2019 We investigate the dynamics of a wild-type viral strain which generates mutant strains differing in phenotypic properties for infectivity, virulence and mutation rates. We study, by means of a mathematical model and bifurcation analysis, conditions under
Anel Nurtay +4 more
doaj +1 more source
Chapman-Enskog method and synchronization of globally coupled oscillators
, 2000 The Chapman-Enskog method of kinetic theory is applied to two problems of synchronization of globally coupled phase oscillators. First, a modified Kuramoto model is obtained in the limit of small inertia from a more general model which includes ...
A. B. Poore +19 more
core +1 more source
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