Results 31 to 40 of about 331 (165)

NON-ALGEBRAIC OSCILLATIONS FOR PREDATOR-PREY MODELS [PDF]

open access: yes, 2020
: We prove that the limit cycle oscillations of the celebrated RosenzweigMacArthur differential system and other predator-prey models are non-algebraic.
Antoni Ferragut, Armengol Gasull
core  

Compatible priors for Bayesian model comparison with an application to the Hardy–Weinberg equilibrium model

open access: yes, 2008
Bayes factor, Conjugate prior, Dirichlet distribution, Jeffreys conditioning, Kullback–Leibler projection, Nested model, Predictive distribution, Trinomial distribution, 62F15, 62P10, 92D25,
Guido Consonni   +7 more
core   +1 more source

Impact of disease on a two-patch eco-epidemic model in presence of prey dispersal

open access: yesComputational and Mathematical Biophysics, 2022
The present model is dealt with prey-predator interactions in two different patches where only prey species are allowed to disperse among the patches.
Saha Sangeeta, Samanta Guruprasad
doaj   +1 more source

A Mixed‐Culture Model of a Probiotic Biofilm Control System

open access: yesComputational and Mathematical Methods in Medicine, Volume 11, Issue 2, Page 99-118, 2010., 2010
We present a mathematical model and computer simulations for the control of a pathogenic biofilm by a probiotic biofilm. This is a substantial extension of a previous model of control of a pathogenic biofilm by microbial control agents that are suspended in the aqueous bulk phase (H. Khassehkhan and H.J. Eberl, Comp. Math. Meth.
Hermann J. Eberl   +2 more
wiley   +1 more source

Dynamics of an eco-epidemic model with Allee effect in prey and disease in predator

open access: yesComputational and Mathematical Biophysics, 2023
In this work, the dynamics of a food chain model with disease in the predator and the Allee effect in the prey have been investigated. The model also incorporates a Holling type-III functional response, accounting for both disease transmission and ...
Kumar Bipin, Sinha Rajesh Kumar
doaj   +1 more source

Sufficient and necessary condition for the permanence of periodic predator‐prey system

open access: yesInternational Journal of Mathematics and Mathematical Sciences, Volume 2004, Issue 43, Page 2307-2323, 2004., 2004
We consider the permanence of a periodic predator‐prey system, where the prey disperse in a two‐patch environment. We assume the Volterra within‐patch dynamics and provide a sufficient and necessary condition to guarantee the predator and prey species to be permanent by using the techniques of inequality analysis.
Jingan Cui, Xinyu Song
wiley   +1 more source

Solvability of BVPs for impulsive fractional differential equations involving the Riemann-Liouvile fractional derivatives

open access: yes, 2018
In this paper, we study two classes of BVPs for impulsive fractional differential equations. Some existence results for these boundary value problems are established. Some comments on three published papers are made.
Yuji Liu, LIU, Yuji
core   +1 more source

An Optimal Control Study with Quantity of Additional food as Control in Prey-Predator Systems involving Inhibitory Effect

open access: yesComputational and Mathematical Biophysics, 2021
Additional food provided prey-predator systems have become a significant and important area of study for both theoretical and experimental ecologists. This is mainly because provision of additional food to the predator in the prey-predator systems has ...
Ananth V. S., Vamsi D. K. K.
doaj   +1 more source

Periodic solutions and stability for a delayed discrete ratio‐dependent predator‐prey system with Holling‐type functional response

open access: yesDiscrete Dynamics in Nature and Society, Volume 2004, Issue 2, Page 325-343, 2004., 2004
The existence of positive periodic solutions for a delayed discrete predator‐prey model with Holling‐type‐III functional response N1(k+1)=N1(k)exp{b1(k)-a1(k)N1(k-[τ1])-α1(k)N1(k)N2(k)/(N12(k)+m2N22(k))}, N2(k+1)=N2(k)exp{-b2(k)+α2(k)N12(k-[τ2])/(N12(k-[τ2])+m2N22(k-[τ2]))} is established by using the coincidence degree theory.
Lin-Lin Wang, Wan-Tong Li
wiley   +1 more source

Incorporating Memory Effects in Population Ecology Using Fractional Derivatives: Stability Perspectives, Bifurcations, and Chaos Control

open access: yesComplexity, Volume 2026, Issue 1, 2026.
This study investigates a discrete‐time predator–prey model that includes both prey refuge and memory effects. The research identifies the conditions under which fixed points exist and remain stable. A key focus is placed on analyzing different types of bifurcation—such as period doubling (PD), Neimark–Sacker (NS), and strong resonances (1 : 2, 1 : 3 ...
S. M. Sohel Rana   +2 more
wiley   +1 more source

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