Results 51 to 60 of about 337 (161)
Mathematical Methods in the Applied Sciences, Volume 48, Issue 2, Page 2194-2223, 30 January 2025.The impact of predator‐driven fear on ecosystems is significant and can encompass both trophic (direct) and nontrophic (indirect) effects. Previous studies have shown that nontrophic fear effects have an important role in predator–prey dynamics. This study investigates the nontrophic fear effect on prey caused by generalist predators and explores ...
Anuj Kumar Umrao +2 more
wiley +1 more source
Local Bifurcation and Global Stability of Two‐Prey‐One‐Predator Model
International Journal of Mathematics and Mathematical Sciences, Volume 2025, Issue 1, 2025.This paper deals with dynamical analysis of an ecological model. This model includes two logistically growing prey species, namely, Prey X and Prey Y, and the third species Z behaves as the predator, predating both Prey X and Prey Y according to the extended Holling type‐II functional response.
Hanaa Jamal Ahmed +4 more
wiley +1 more source
Journal of Applied Mathematics, Volume 2025, Issue 1, 2025.This study illustrates selective and combined harvesting efforts to examine the existence of hydra effect and global MSTY (maximum sustainable total yield) in a generalist predator–prey mathematical model with general Holling type response functions. The hydra effect is an ecological paradox in which a species’ population size increases in response to ...
Solomon Molla Alemu +3 more
wiley +1 more source
Journal of Applied Mathematics, Volume 2025, Issue 1, 2025.In an ecological point of view, fears from predator cause physiological changes of prey population and these physiological changes may reduce the reproduction of prey. This paper deals with studying the effect of fear that is incorporated in the growth rate of prey on the dynamics of a delay ecological model consisting of two logistically growing prey ...
Hersh Aziz Mohammed +2 more
wiley +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
Péclet‐Number‐Dependent Longitudinal Dispersion in Discrete Fracture Networks
Water Resources Research, Volume 60, Issue 12, December 2024.Abstract Dispersion in fractured media impacts many environmental and geomechanical practices. It is mainly controlled by the structure of fracture networks and the Péclet number (Pe) $(Pe)$, but predicting it remains challenging. In this study, numerous three‐dimensional stochastic discrete fracture networks (DFNs) were generated, where the density ...
Tingchang Yin +3 more
wiley +1 more source
Bifurcation Behavior Analysis in a Predator-Prey Model
Discrete Dynamics in Nature and Society, 2016 A predator-prey model is studied mathematically and numerically. The aim is to explore how some key factors influence dynamic evolutionary mechanism of steady conversion and bifurcation behavior in predator-prey model.
Nan Wang +5 more
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The Bogdanov–Takens Normal Form: A Minimal Model for Single Neuron Dynamics
Entropy, 2015 Conductance-based (CB) models are a class of high dimensional dynamical systems derived from biophysical principles to describe in detail the electrical dynamics of single neurons.
Ulises Pereira +2 more
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Structural obstruction to the simplicity of the eigenvalue zero in chemical reaction networks
Mathematical Methods in the Applied Sciences, Volume 47, Issue 4, Page 2993-3006, 15 March 2024.Multistationarity is the property of a system to exhibit two distinct equilibria (steady‐states) under otherwise identical conditions, and it is a phenomenon of recognized importance for biochemical systems. Multistationarity may appear in the parameter space as a consequence of saddle‐node bifurcations, which necessarily require an algebraically ...
Nicola Vassena
wiley +1 more source
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 +2 more
wiley +1 more source