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Displaying 141 – 160 of 449

Équations d'évolution dégénérées

Michel Langlais (1980)

Journées équations aux dérivées partielles

Equazione stocastica di dinamica di popolazioni di tipo preda-predatore

Sonia Chessa, Hisao Fujita Yashima (2002)

Bollettino dell'Unione Matematica Italiana

Si considera l'equazione stocastica che modellizza la dinamica di popolazioni di due specie di tipo preda-predatore sotto perturbazioni stocastiche. Si dimostrano in primo luogo l'esistenza e l'unicità della soluzione dell'equazione; per questo è essenziale introdurre una funzione ausiliaria con cui si costruiscono soluzioni approssimate. Si dimostra inoltre che, se non sono presenti perturbazioni stocastiche dovute alla stocasticità demografica, ma solo perturbazioni stocastiche rappresentanti...

Equilibrium transitions in finite populations of players

J. Miękisz (2006)

Banach Center Publications

We discuss stochastic dynamics of finite populations of individuals playing symmetric games. We review recent results concerning the dependence of the long-run behavior of such systems on the number of players and the noise level. In the case of two-player games with two symmetric Nash equilibria, when the number of players increases, the population undergoes multiple transitions between its equilibria.

Estimates of solutions of impulsive parabolic equations and applications to the population dynamics.

Drumi Bainov, Emil Minchev (1996)

Publicacions Matemàtiques

A theorem on estimates of solutions of impulsive parabolic equations by means of solutions of impulsive ordinary differential equations is proved. An application to the population dynamics is given.

Evolution in a changing environment: existence of solutions

P. Rybka, Q. Tang, D. Waxman (2003)

Colloquium Mathematicae

We establish the existence of solutions of an intrinsically nonlinear differential-integral equation that arises from the mathematical modelling of the evolution of an asexual population in a changing environment. The main objective is to pave the way for a rigorous analysis of the linear stability of travelling wave solutions of the corresponding problem.

Evolution in a migrating population model

Włodzimierz Bąk, Tadeusz Nadzieja (2012)

Applicationes Mathematicae

We consider a model of migrating population occupying a compact domain Ω in the plane. We assume the Malthusian growth of the population at each point x ∈ Ω and that the mobility of individuals depends on x ∈ Ω. The evolution of the probability density u(x,t) that a randomly chosen individual occupies x ∈ Ω at time t is described by the nonlocal linear equation $u_{t} = \int_{Ω} φ (y) u (y, t) d y - φ (x) u (x, t)$ , where φ(x) is a given function characterizing the mobility of individuals living at x. We show that the asymptotic behaviour of u(x,t)...

Existence and global asymptotical stability of periodic solution for the $T$ -periodic logistic system with time-varying generating operators and $T_{0}$ -periodic impulsive perturbations on Banach spaces.

Wang, Jinrong, Xiang, X., Wei, W., Chen, Qian (2008)

Discrete Dynamics in Nature and Society

Existence and global attractivity of periodic solutions in a higher order difference equation

Chuanxi Qian, Justin Smith (2018)

Archivum Mathematicum

Consider the following higher order difference equation $x (n + 1) = f (n, x (n)) + g (n, x (n - k)), n = 0, 1, \dots$ where $f (n, x)$ and $g (n, x) : {0, 1, \dots} \times [0, \infty) \to [0, \infty)$ are continuous functions in $x$ and periodic functions in $n$ with period $p$ , and $k$ is a nonnegative integer. We show the existence of a periodic solution ${\tilde{x} (n)}$ under certain conditions, and then establish a sufficient condition for ${\tilde{x} (n)}$ to be a global attractor of all nonnegative solutions of the equation. Applications to Riccati difference equation and some other difference equations derived from mathematical biology are also given.

Existence and global attractivity of periodic solutions in $n$ -species food-chain system with time delays.

Liu, Qiming, Zhou, Haiyun (2003)

JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]

Existence and global attractivity of positive almost periodic solutions for a kind of fishing model with pure-delay

Tianwei Zhang, Yongzhi Liao (2017)

Kybernetika

By using some analytical techniques, modified inequalities and Mawhin's continuation theorem of coincidence degree theory, some sufficient conditions for the existence of at least one positive almost periodic solution of a kind of fishing model with delay are obtained. Further, the global attractivity of the positive almost periodic solution of this model is also considered. Finally, three examples are given to illustrate the main results of this paper.

Existence and global attractivity positive periodic solutions for a discrete model.

Zhou, Zheng, Zhang, Zhengqiu (2006)

Electronic Journal of Differential Equations (EJDE) [electronic only]

Existence and global stability of positive periodic solutions of a discrete predator-prey system with delays.

Wang, Lin-Lin, Li, Wan-Tong, Zhao, Pei-Hao (2004)

Advances in Difference Equations [electronic only]

Existence and global stability of positive periodic solutions of a discrete delay competition system.

Huo, Hai-Feng, Li, Wan-Tong (2003)

International Journal of Mathematics and Mathematical Sciences

Existence and stability of periodic solutions for a nonlocal evolution population problem.

Maurizio Badii (2005)

RACSAM

The theory of maximal monotone operators is applied to prove the existence of weak periodic solutions for a nonlinear nonlocal problem. The stability of these solutions is a consequence of the Lipschitz continuous assumption on the diffusivity matrix and the death rate.

Existence and uniqueness for the predator-prey model with diffusion in the scalar case.

Julián López-Gómez, Rosa Pardo (1991)

Extracta Mathematicae

We solve the problem of the existence and uniqueness of coexistence states for the classical predator-prey model of Lotka-Volterra with diffusion in the scalar case.

Existence and uniqueness of a positive steady state solution for a logistic system of differential difference equations.

Padrón, Víctor (2007)

Revista Colombiana de Matemáticas

Existence and uniqueness of positive periodic solutions of delayed Nicholson's blowflies models

Fei Long, Bingwen Liu (2012)

Annales Polonici Mathematici

This paper is concerned with a class of Nicholson's blowflies models with multiple time-varying delays. By applying the coincidence degree, some criteria are established for the existence and uniqueness of positive periodic solutions of the model. Moreover, a totally new approach to proving the uniqueness of positive periodic solutions is proposed. In particular, an example is employed to illustrate the main results.

Currently displaying 141 – 160 of 449