Results 61 to 70 of about 806 (167)

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

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

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

Slow–fast Bogdanov–Takens bifurcations

, 2011
In this paper we study perturbations from planar vector fields having a line of zeros and representing a singular limit of Bogdanov–Takens (BT) bifurcations.
Dumortier, F., F. Dumortier, DUMORTIER, Freddy, P. De Maesschalck, De Maesschalck, P., DE MAESSCHALCK, Peter   +5 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  

Bifurcations of a modified Leslie–Gower predator–prey model with fear, Allee effect and hunting cooperation strategy

Journal of Biological Dynamics
The fear preoften leads to changes in the physiological characteristics of the prey. Different stages of prey exhibit different physiological behaviours, such as susceptibility to predator risk, which often leads to Allee effect.
Weili Kong, Yuanfu Shao
doaj   +1 more source

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

Nonlinear Magnetoconvection in a Sparsely Packed Porous Medium

International Journal of Geophysics, 2011
Linear and weakly nonlinear properties of magnetoconvection in a sparsely packed porous medium are investigated. We have obtained the values of Takens-Bogdanov bifurcation points and codimension two bifurcation points by plotting graphs of neutral curves
A. Benerji Babu, Ragoju Ravi, S. G. Tagare   +2 more
doaj   +1 more source

Codimension two and three bifurcations of a predator–prey system with group defense and prey refuge

Nonlinear Analysis, 2015
A predator–prey system with nonmonotonic functional response and prey refuge is considered. We mainly obtain that the system has the bifurcations of cusp-type codimension two and three, these illustrate that the dynamic behaviors of the model with prey ...
Xia Liu, Jinling Wang
doaj   +1 more source