Results 41 to 50 of about 1,672 (154)
Sufficient and necessary condition for the permanence of periodic predator‐prey system
International 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
On the complete phase synchronization for the Kuramoto model in the mean-field limit [PDF]
, 2014 We study the Kuramoto model for coupled oscillators. For the case of identical natural frequencies, we give a new proof of the complete frequency synchronization for all initial data; extending this result to the continuous version of the model, we ...
Benedetto, Dario +2 more
core +1 more source
Discrete 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
Species survival versus eigenvalues
Abstract 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
Impact of disease on a two-patch eco-epidemic model in presence of prey dispersal
Computational 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
Logistic equation with the p‐Laplacian and constant yield harvesting
Abstract and Applied Analysis, Volume 2004, Issue 9, Page 723-727, 2004., 2004 We consider the positive solutions of a quasilinear elliptic equation with p‐Laplacian, logistic‐type growth rate function, and a constant yield harvesting. We use sub‐super‐solution methods to prove the existence of a maximal positive solution when the harvesting rate is under a certain positive constant.
Shobha Oruganti +2 more
wiley +1 more source
Dynamics of an eco-epidemic model with Allee effect in prey and disease in predator
Computational 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
Journal of Applied Mathematics, Volume 2004, Issue 3, Page 235-254, 2004., 2004 An SI epidemic model for a vertically as well as horizontally transmitted disease is investigated when the fertility, natural mortality, and disease‐induced mortality rates depend on age and the force of infection corresponds to a special form of intercohort transmission called proportionate mixing.
M. El-Doma
wiley +1 more source
Computational 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 of a delayed predator‐prey model with stage structure for predator
Journal of Applied Mathematics, Volume 2004, Issue 3, Page 255-270, 2004., 2004 A periodic time‐dependent Lotka‐Volterra‐type predator‐prey model with stage structure for the predator and time delays due to negative feedback and gestation is investigated. Sufficient conditions are derived, respectively, for the existence and global stability of positive periodic solutions to the proposed model.
Rui Xu +2 more
wiley +1 more source