Monotone dynamics or not? Dynamical consequences of various mechanisms for delayed logistic growth
نویسندگان
چکیده
منابع مشابه
Spatiotemporal Dynamics of a Delayed and Diffusive Viral Infection Model with Logistic Growth
Abstract: Viruses have important influences on human health: they not only cause some common diseases, but also cause serious illnesses. Moreover, the conventional medicines usually fail to prevent or treat them, and viral infections are hard to treat because viruses live inside the body’s cells. However, some mathematical models can help to understand the viral transmission mechanism and contr...
متن کاملStochastic dynamics and logistic population growth.
The Verhulst model is probably the best known macroscopic rate equation in population ecology. It depends on two parameters, the intrinsic growth rate and the carrying capacity. These parameters can be estimated for different populations and are related to the reproductive fitness and the competition for limited resources, respectively. We investigate analytically and numerically the simplest p...
متن کاملMonotone Dynamical Systems
1 Strongly Order-Preserving Semiflows 6 1.1 Definitions and Basic Results . . . . . . . . . . . . . . . . . . . . . . . . 6 1.2 Nonordering of Omega Limit Sets . . . . . . . . . . . . . . . . . . . . . . 12 1.3 Local Semiflows . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 14 1.4 The Limit Set Dichotomy . . . . . . . . . . . . . . . . . . . . . . . . . . 15 1.5 Q is plentiful ....
متن کاملBasic Mechanisms Driving Complex Spike Dynamics in a Chemotaxis Model with Logistic Growth
Recently, Wang and Hillen [Chaos 17 (3) (2007) 037108–037108] introduced a modified Keller-Segel model with logistic growth that exhibits complex spatiotemporal dynamics of spikes. These dynamics are driven by merging of spikes on one hand, and spike insertion on the other. In this paper we analyse the basic mechanisms that initiate and sustain these events. We identify two distinguished regime...
متن کاملDynamics of symmetric dynamical systems with delayed switching
We study dynamical systems that switch between two different vector fields depending on a discrete variable and with a delay. When the delay reaches a problemdependent critical value so-called event collisions occur. This paper classifies and analyzes event collisions, a special type of discontinuity induced bifurcations, for periodic orbits. Our focus is on event collisions of symmetric period...
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: Differential Equations & Applications
سال: 2017
ISSN: 1847-120X
DOI: 10.7153/dea-2017-09-27