Results 21 to 30 of about 308 (160)

Null controllability for a degenerate population model in divergence form via Carleman estimates

open access: yesAdvances in Nonlinear Analysis, 2019
In this paper we consider a degenerate population equation in divergence form depending on time, on age and on space and we prove a related null controllability result via Carleman estimates.
Fragnelli Genni
doaj   +1 more source

Modeling Wolbachia infection frequency in mosquito populations via a continuous periodic switching model

open access: yesAdvances in Nonlinear Analysis, 2023
In this article, we develop a continuous periodic switching model depicting Wolbachia infection frequency dynamics in mosquito populations by releasing Wolbachia-infected mosquitoes, which is different from the discrete modeling efforts in the literature.
Shi Yantao, Zheng Bo
doaj   +1 more source

Extinction of a two species non-autonomous competitive system with Beddington-DeAngelis functional response and the effect of toxic substances

open access: yesOpen Mathematics, 2016
A two species non-autonomous competitive phytoplankton system with Beddington-DeAngelis functional response and the effect of toxic substances is proposed and studied in this paper.
Chen Fengde   +2 more
doaj   +1 more source

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  

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

Hopf bifurcation and Turing instability in a diffusive predator-prey model with hunting cooperation

open access: yesOpen Mathematics, 2022
In this article, we study Hopf bifurcation and Turing instability of a diffusive predator-prey model with hunting cooperation. For the local model, we analyze the stability of the equilibrium and derive conditions for determining the direction of Hopf ...
Miao Liangying, He Zhiqian
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

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

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,
E. Gutièrrez Peña   +8 more
core   +1 more source

Species survival versus eigenvalues

open access: yesAbstract and Applied Analysis, Volume 2004, Issue 2, Page 115-131, 2004., 2004
Mathematical models describing the behavior of hypothetical species in spatially heterogeneous environments are discussed and analyzed using the fibering method devised and developed by S. I. Pohozaev.
Luiz Antonio Ribeiro de Santana   +2 more
wiley   +1 more source

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