Results 41 to 50 of about 170,441 (221)
The transcritical Bogdanov Takens bifurcation with boundary due to the risk perception on a recruitment epidemiological model [PDF]
We analyze an epidemiological model with treatment and recruitment considering the risk perception. In this model, we consider an exponential function as a recruitment rate. We have found that this model undergoes the transcritical Bogdanov-Takens bifurcation with boundary, where the system experiences the transcritical bifurcation between the disease ...
Jocelyn A. Castro-Echeverría +2 more
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Communications on Pure & Applied Analysis, 2004 Consider the vector differential equation \[ {dx\over dt}= A(\varepsilon)x+ b(t) H_m(x,t), \] where \(A(0)\) has the simple eigenvalue \(\mu(0)= 0\) and all other eigenvalues have negative real parts, \(b\) is an almost periodic function which is strictly positive or strictly negative, \(H_m\) is homogeneous in \(x\) of order \(m\geq 2\), \(\varepsilon\
Peter E. Kloeden
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Dynamics of a Discrete Leslie–Gower Model with Harvesting and Holling-II Functional Response
Mathematics, 2023 Recently, Christian Cortés García proposed and studied a continuous modified Leslie–Gower model with harvesting and alternative food for predator and Holling-II functional response, and proved that the model undergoes transcritical bifurcation, saddle ...
Chen Zhang, Xianyi Li
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Transcritical bifurcation without parameters in memristive circuits [PDF]
SIAM Journal on Applied Mathematics, 2016 The transcritical bifurcation without parameters (TBWP) describes a stability change along a line of equilibria, resulting from the loss of normal hyperbolicity at a given point of such a line.
Ricardo Riaza
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Dynamical analysis of an aquatic amensalism model with non-selective harvesting and Allee effect
Mathematical Biosciences and Engineering, 2021 In this paper, in order to explore the inhibition mechanism of algicidal bacteria on algae, we constructed an aquatic amensalism model with non-selective harvesting and Allee effect.
Huanyi Liu +5 more
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More complex dynamics in a discrete prey-predator model with the Allee effect in prey
Mathematical Biosciences and Engineering, 2023 In this paper, we revisit a discrete prey-predator model with the Allee effect in prey to find its more complex dynamical properties. After pointing out and correcting those known errors for the local stability of the unique positive fixed point $ E_*, $
Mianjian Ruan, Xianyi Li, Bo Sun
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AIMS Mathematics, 2022 In this paper we revisit a discrete predator-prey model with Holling Ⅳ functional response. By using the method of semidiscretization, we obtain new discrete version of this predator-prey model. Some new results, besides its stability of all fixed points
Mianjian Ruan, Chang Li, Xianyi Li
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Multivariate signals of population collapse in a high-throughput ecological experiment. [PDF]
EcologyAbstract Anticipating population declines is a crucial goal of conservation ecology. Recent conceptual work suggests that populations facing growing stressors should exhibit sequential shifts in behavior, morphology, and abundance before declining to extinction.
Cerini F +4 more
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A balance equation determines a switch in neuronal excitability. [PDF]
PLoS Computational Biology, 2013 We use the qualitative insight of a planar neuronal phase portrait to detect an excitability switch in arbitrary conductance-based models from a simple mathematical condition. The condition expresses a balance between ion channels that provide a negative
Alessio Franci +3 more
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Imperfect transcritical and pitchfork bifurcations
Journal of Functional Analysis, 2007 AbstractImperfect bifurcation phenomena are formulated in framework of analytical bifurcation theory on Banach spaces. In particular the perturbations of transcritical and pitchfork bifurcations at a simple eigenvalue are examined, and two-parameter unfoldings of singularities are rigorously established.
Yuwen Wang +4 more
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