Results 41 to 50 of about 1,808 (165)
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
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
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
Hopf bifurcation and Turing instability in a diffusive predator-prey model with hunting cooperation
Open 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
Flip and Hopf Bifurcations of Discrete-Time Fitzhugh-Nagumo Model
Open Journal of Mathematical Sciences, 2018 In this paper, dynamics of a two-dimensional Fitzhugh-Nagumo model is discussed. The discrete-time model is obtained with the implementation of forward Euler’s scheme.
Qamar Din, S. Khaliq
semanticscholar +1 more source
Existence and global stability of positive periodic solutions of a discrete delay competition system
International Journal of Mathematics and Mathematical Sciences, Volume 2003, Issue 38, Page 2401-2413, 2003., 2003 The existence and the global stability of positive periodic solutions of a discrete competition model is studied. The model incorporates time delays and allows for a fluctuating environment. By means of some standard procedures of the topological degree method and the construction of a suitable Lyapunov function, sufficient conditions are obtained to ...
Hai-Feng Huo, Wan-Tong Li
wiley +1 more source
Spatial stochastic predator-prey models [PDF]
, 2006 We consider a broad class of stochastic lattice predator-prey models, whose main features are overviewed. In particular, this article aims at drawing a picture of the influence of spatial fluctuations, which are not accounted for by the deterministic ...
Georgiev, Ivan T. +2 more
core +1 more source
The logistic modeling population: Having harvesting factor
, 2015 : The present paper deals with the logistic equation having harvesting factor, which is studied in two cases, constant and non-constant. In fact, the nature of equilibrium points and solutions behavior has been analyzed for both of the above cases by ...
Doust M.H. Rahmani, M. Saraj
semanticscholar +1 more source
International Journal of Mathematics and Mathematical Sciences, Volume 2003, Issue 64, Page 4057-4070, 2003., 2003 A delayed three‐species periodic food‐chain system with Holling type‐II functional response is investigated. By using Gaines and Mawhin′s continuation theorem of coincidence degree theory, a set of easily verifiable sufficient conditions is derived for the existence of positive periodic solutions to the system.
Qiming Liu, Rui Xu
wiley +1 more source
A note on the existence of non-monotone non-oscillating wavefronts
, 2013 In this note, we present a monostable delayed reaction-diffusion equation with the unimodal birth function which admits only non-monotone wavefronts.
Gomez, Carlos +2 more
core +1 more source