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Dynamical properties of tropically discretized and max-plus negative feedback models are investigated. Reviewing the previous study [S. Gibo and H. Ito, J. Theor. Biol. 378, 89 (2015)], the conditions under which the Neimark-Sacker…

混沌动力学 · 物理学 2023-05-11 Shousuke Ohmori , Yoshihiro Yamazaki

Differential equation-based physiological models of sleep-wake networks describe sleep-wake regulation by simulating the activity of wake- and sleep-promoting neuronal populations and the modulation of these populations by homeostatic and…

动力系统 · 数学 2021-11-16 Christina Athanasouli , Sofia H. Piltz , Cecilia Diniz Behn , Victoria Booth

We consider the class of SIS epidemic models in which a large population of individuals chooses whether to adopt protection or to remain unprotected as the epidemic evolves. For a susceptible individual, adopting protection reduces the…

系统与控制 · 电气工程与系统科学 2022-03-22 Abhisek Satapathi , Narendra Kumar Dhar , Ashish R. Hota , Vaibhav Srivastava

The repeated presentation of an identical visual stimulus in the receptive field of a neuron may evoke different spiking patterns at each trial. Probabilistic methods are essential to understand the functional role of this variance within…

神经元与认知 · 定量生物学 2016-11-15 Wahiba Taouali , Giacomo Benvenuti , Pascal Wallisch , Frédéric Chavane , Laurent Perrinet

Positive density-dependence occurs when individuals experience increased survivorship, growth, or reproduction with increased population densities. Mechanisms leading to these positive relationships include mate limitation, saturating…

种群与进化 · 定量生物学 2019-02-12 Sebastian J. Schreiber

We study the microscopic time fluctuations of traffic-load and the global statistical properties of a dense traffic of particles on scale-free cyclic graphs. For a wide range of driving rates $R$ the traffic is stationary and the load…

统计力学 · 物理学 2009-11-10 Bosiljka Tadic , Stefan Thurner , G. J. Rodgers

We consider a general swarm model of self-propelling agents interacting through a pairwise potential in the presence of noise and communication time delay. Previous work [Phys. Rev. E 77, 035203(R) (2008)] has shown that a communication…

适应与自组织系统 · 物理学 2012-05-02 Luis Mier-y-Teran-Romero , Eric Forgoston , Ira B. Schwartz

We investigate spatial random graphs defined on the points of a Poisson process in $d$-dimensional space, which combine scale-free degree distributions and long-range effects. Every Poisson point is assigned an independent weight. Given the…

概率论 · 数学 2024-04-23 Peter Gracar , Lukas Lüchtrath , Peter Mörters

The dryland vegetation model proposed by Rietkerk and collaborators has been explored from a bifurcation perspective in several previous studies. Our aim here is to explore in some detail the bifurcation phenomena present when the…

斑图形成与孤子 · 物理学 2017-09-20 C. B. Ward , P. G. Kevrekidis , N. Whitaker

The objective of this paper is to study the dynamical behaviour systematically of an ecological system with Beddington-DeAngelis functional response which avoids the criticism occurred in the case of ratio-dependent functional response at…

动力系统 · 数学 2015-01-21 Sahabuddin Sarwardi , Md. Reduanur Mandal , Nurul Huda Gazi

We investigate a stochastic individual-based model for the population dynamics of host-virus systems where the microbial hosts may transition into a dormant state upon contact with virions, thus evading infection. Such a contact-mediated…

种群与进化 · 定量生物学 2022-11-07 Jochen Blath , András Tóbiás

In this paper, we proposed a population model depicting the dynamics of a prey species showing group defence against a generalist predator. The group defence characteristic is represented by a non-monotonic functional response. We have…

动力系统 · 数学 2022-09-09 R. R. Patra , S. Maitra , S. Kundu

Different pathogens spreading in the same host population often generate complex co-circulation dynamics because of the many possible interactions between the pathogens and the host immune system, the host life cycle, and the space…

种群与进化 · 定量生物学 2014-12-18 Chiara Poletto , Sandro Meloni , Ashleigh Van Metre , Vittoria Colizza , Yamir Moreno , Alessandro Vespignani

The work reported here aims to address the effects of time-dependent parameters and stochasticity on decision-making in biological systems. We achieve this by extending previous studies that resorted to simple normal forms. Yet, we focus…

定量方法 · 定量生物学 2018-08-29 Nuno R. Nené , James Rivington , Alexey Zaikin

We study two simple mathematical models of the epidemic. At first, we study the repetitive infection spreading in a simplified SIRS model including the effect of the decay of the acquired immune. The model is an intermediate model of the…

种群与进化 · 定量生物学 2024-03-13 Hidetsugu Sakaguchi , Keito Yamasaki

Ecological systems are complex dynamical systems. Modelling efforts on ecosystems' dynamical stability have revealed that population dynamics, being highly nonlinear, can be governed by complex fluctuations. Indeed, experimental and field…

Real-world examples of periods of periodical organisms range from cicadas whose life-cycles are larger prime numbers, like 13 or 17, to bamboos whose periods are large multiples of small primes, like 40 or even 120. The periodicity is…

种群与进化 · 定量生物学 2021-10-13 Eric Goles , Ivan Slapničar , Marco A. Lardies

Individual species may experience diverse outcomes, from prosperity to extinction, in an ecological community subject to external and internal variations. Despite the wealth of theoretical results derived from random matrix ensembles, a…

种群与进化 · 定量生物学 2024-06-12 Andrus Giraldo , Deok-Sun Lee

Conditions such as insomnia, cardiac arrhythmia and jet-lag share a common feature: they are all related to the ability of biological systems to synchronize with the day-night cycle. When organisms lose resilience, this ability of…

定量方法 · 定量生物学 2020-03-27 Pablo Rodríguez-Sánchez , Egbert H. van Nes , Marten Scheffer

More and more evidence shows that mating preference is a mechanism that may lead to a reproductive isolation event. In this paper, a haploid population living on two patches linked by migration is considered. Individuals are ecologically…

种群与进化 · 定量生物学 2018-05-08 Helene Leman