Sharp spatiotemporal patterns in the diffusive time-periodic logistic equation
نویسندگان
چکیده
منابع مشابه
On the periodic logistic equation
We show that the p-periodic logistic equation xn+1 = μn mod pxn(1 − xn) has cycles (periodic solutions) of minimal periods 1, p, 2p, 3p, .... Then we extend Singer’s theorem to periodic difference equations, and use it to show the p-periodic logistic equation has at most p stable cycles. Also, we present computational methods investigating the stable cycles in case p = 2 and 3.
متن کاملDelay-induced periodic phenomenon in a diffusive regulated logistic model
The diffusive logistic growth model with time delay and feedback control is considered. First, the well-posedness and permanence of solutions are discussed by using some comparison techniques. Then, the sufficient conditions for stability of nonnegative constant steady states are established, and the occurrence of Hopf bifurcation at positive steady state is performed. Next, the bifurcation pro...
متن کاملLong Time Behavior for Solutions of the Diffusive Logistic Equation with Advection and Free Boundary
We consider the influence of a shifting environment and an advection on the spreading of an invasive species through a model given by the diffusive logistic equation with a free boundary. When the environment is shifting and without advection (β = 0), Du, Wei and Zhou in [16] showed that the species always dies out when the shifting speed c∗ ≥ C, and the long-time behavior of the species is det...
متن کاملExistence of positive periodic solutions for a periodic logistic equation
In this paper, we study a more generalized class of periodic logistic equations. By using the method of coincidence degree, a set of sufficient conditions is obtained for the existence of positive periodic solutions of the equations which are under the consideration. 2002 Elsevier Science Inc. All rights reserved.
متن کاملAsymptotic Behavior of a Nonlocal Diffusive Logistic Equation
The long time behavior of a logistic-type equation modeling the motion of cells is investigated. The equation we consider takes into account birth and death processes using a simple logistic effect as well as a nonlocal motion of cells using a nonlocal Darcy's law with regular kernel. Using the periodic framework we first investigate the well-posedness of the problem before deriving some inform...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Differential Equations
سال: 2013
ISSN: 0022-0396
DOI: 10.1016/j.jde.2013.02.004