Results 61 to 70 of about 337 (161)
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
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 +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 +4 more
wiley +1 more source
Bogdanov-Takens bifurcations in the enzyme-catalyzed reaction comprising a branched network
Mathematical Biosciences and Engineering, 2017 There have been some results on bifurcations of codimension one (such as saddle-node, transcritical, pitchfork) and degenerate Hopf bifurcations for an enzyme-catalyzed reaction system comprising a branched network but no further discussion for bifurcations at its cusp.
Qiuyan Zhang +2 more
openaire +4 more sources
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 xuebaoTo 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
Unfolding Symmetric Bogdanov–Takens Bifurcations for Front Dynamics in a Reaction–Diffusion System
Journal of Nonlinear Science, 2019 This manuscript extends the analysis of a much studied singularly perturbed three-component reaction-diffusion system for front dynamics in the regime where the essential spectrum is close to the origin. We confirm a conjecture from a preceding paper by proving that the triple multiplicity of the zero eigenvalue gives a Jordan chain of length three ...
Martina Chirilus-Bruckner +3 more
openaire +6 more sources
Journal of Biological DynamicsThe 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