Results 191 to 200 of about 171,319 (210)
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STABILITY AND BIFURCATION OF A PREDATOR–PREY SYSTEM WITH MULTIPLE ANTI-PREDATOR BEHAVIORS

Journal of biological systems
In this paper, a predator–prey system with multiple anti-predator behaviors is developed and studied, where not only the prey may spread between patches but also the fear effect and counter-attack behavior of the prey are taken into account.
Yue Xia   +3 more
semanticscholar   +1 more source

Influences of Media-Induced Awareness and Sanitation Practices on Cholera Epidemic: A Study of Bifurcation and Optimal Control

International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
Media has a notable impact on reducing disease prevalence, while sanitation measures and heightened awareness can effectively control epidemics by diminishing bacterial growth rates and limiting direct contact with infected individuals. In this study, we
K. Pal   +2 more
semanticscholar   +1 more source

Bifurcation and Turing Pattern Formation in a Diffusion Modified Leslie-Gower Predator-Prey Model with Crowley-Martin Functional Response

Journal of Applied Mathematics and Physics
In this paper, we study a modified Leslie-Gower predator-prey model with Smith growth subject to homogeneous Neumann boundary condition, in which the functional response is the Crowley-Martin functional response term.
Dong Wang, Yan Ma
semanticscholar   +1 more source

On the stability, chaos and bifurcation analysis of a discrete-time chemostat model using the piecewise constant argument method

AIMS Mathematics
In this paper, the dynamics of a discrete-time chemostat model were investigated. The discretization was obtained using the piecewise constant argument method. An analysis was performed to determine the existence and stability of fixed points.
Ibraheem M. Alsulami
semanticscholar   +1 more source

Stability and Bifurcation of a Gordon-Schaefer Model with Additive Allee Effect

International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
The rarity of species increases its market price, consequently leading to the overexploitation of the species and even the extinction of the species. We study how the harvest intensity and the additive Allee effect impact on the Gordon–Schaefer model. In
Simin Liao, Yongli Song, Yonghui Xia
semanticscholar   +1 more source

Bifurcation analysis of predator–prey model with Cosner type functional response and combined harvesting

Mathematical methods in the applied sciences
In this paper, we consider a predator–prey model with Cosner type functional response and combined harvesting. First, we explore the existence and stability of the equilibria.
B. Mulugeta   +3 more
semanticscholar   +1 more source

Identifying numerical bifurcation structures of codimensions 1 and 2 in interacting species system

Mathematical methods in the applied sciences
The present study has focused on the examination of a Holling type III nonlinear mathematical model that incorporates the influence of fear and Michaelis–Menten‐type predator harvesting. The incorporation of fear with respect to the prey species has been
Swagata Dutta   +3 more
semanticscholar   +1 more source

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