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We continue the investigations of an ecosystem where a epidemic-affected population can move between two connected patches, by considering what happens to the system when the migration paths are interrupted in one direction, or when the…

动力系统 · 数学 2014-03-19 Veronica Aimar , Sara Borlengo , Silvia Motto , Ezio Venturino

In this paper we consider a simple two-patch model in which a population affected by a disease can freely move. We assume that the capacity of the interconnected paths is limited, and thereby influencing the migration rates. Possible…

动力系统 · 数学 2014-03-19 Silvia Motto , Ezio Venturino

On a global level, ecological communities are being perturbed at an unprecedented rate by human activities and environmental instabilities. Yet, we understand little about what factors facilitate or impede long-term persistence of these…

种群与进化 · 定量生物学 2024-10-24 Johannes Nauta , Manlio De Domenico

We consider population dynamics on a network of patches, each of which has a the same local dynamics, with different population scales (carrying capacities). It is reasonable to assume that if the patches are coupled by very fast migration…

生物物理 · 物理学 2015-06-04 Michael Khasin , Evgeniy Khain , Leonard M. Sander

We consider the impact of network connectivity on the dynamics of a population in a stream environment. The population is modeled using a graph theoretical framework, with habitats represented by isolated patches. We introduce a change in…

种群与进化 · 定量生物学 2025-03-19 Tung D. Nguyen , Tingting Tang , Amy Veprauskas , Yixiang Wu , Ying Zhou

Metapopulations are models of ecological systems, describing the interactions and the behavior of populations that live in fragmented habitats. In this paper, we present a model of metapopulations based on the multivolume simulation…

计算工程、金融与科学 · 计算机科学 2010-08-20 Daniela Besozzi , Paolo Cazzaniga , Dario Pescini , Giancarlo Mauri

Ecosystems are complex systems, currently experiencing several threats associated with global warming, intensive exploitation, and human-driven habitat degradation. Such threats are pushing ecosystems to the brink of collapse. Because of a…

种群与进化 · 定量生物学 2017-01-02 Ricard Sole , Raul Montanez , Salva Duran-Nebreda , Daniel R. Amor , Blai Vidiella , Josep Sardanyes

We formulate a compartmental model for the propagation of a respiratory disease in a patchy environment. The patches are connected through the mobility of individuals, and we assume that disease transmission and recovery are possible during…

种群与进化 · 定量生物学 2021-10-11 Indrajit Ghosh , Sk Shahid Nadim , Soumyendu Raha , Debnath Pal

A stable population network is hard to interrupt without any ecological consequences. A communication blockage between patches may destabilize the populations in the ecological network. This work deals with the construction of a safe cut…

动力系统 · 数学 2018-04-25 Dinesh Kumar , Jatin Gupta , Soumyendu Raha

How do landscape fragmentation affects ecosystems diversity and stability is an important and complex question in ecology with no simple answer, as spatially separated habitats where species live are highly dynamic rather than just static.…

混沌动力学 · 物理学 2016-08-17 Ramesh Arumugam , Partha Sharathi Dutta , Tanmoy Banerjee

Rapidly mutating pathogens may be able to persist in the population and reach an endemic equilibrium by escaping hosts' acquired immunity. For such diseases, multiple biological, environmental and population-level mechanisms determine the…

We propose a general model to study the interplay between spatial dispersal and environment spatiotemporal fluctuations in metapopulation dynamics. An ecological landscape of favorable patches is generated like a L\'{e}vy dust, which allows…

种群与进化 · 定量生物学 2015-08-20 E. H. Colombo , C. Anteneodo

Coevolutionary dynamics is investigated in chemical catalysis, biological evolution, social and economic systems. The dynamics of these systems can be analyzed within the unifying framework of evolutionary game theory. In this Letter, we…

种群与进化 · 定量生物学 2012-06-12 Jens Christian Claussen , Arne Traulsen

The propagation of infectious diseases and its impact on individuals play a major role in disease dynamics, and it is important to incorporate population heterogeneity into efforts to study diseases. As a simplistic but illustrative…

种群与进化 · 定量生物学 2019-07-24 Juan G. Calvo , Alberto Hernández , Mason A. Porter , Fabio Sanchez

Ecosystems can undergo sudden shifts to undesirable states, but recent studies with simple single species ecosystems have demonstrated that advance warning can be provided by the slowing down of population dynamics near a tipping point.…

种群与进化 · 定量生物学 2015-06-16 Andrew Chen , Alvaro Sanchez , Lei Dai , Jeff Gore

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…

We study a variant of Hanski's incidence function model that allows habitat patch characteristics to vary over time following a Markov process. The widely studied case where patches are classified as either suitable or unsuitable is…

概率论 · 数学 2016-09-15 R. McVinish , P. K. Pollett , Y. S. Chan

Anthropogenic activity threatens biodiversity through climate change, habitat fragmentation, and increasing frequency and scale of disturbance. Various theoretical studies have sought to shed light on how these factors could promote or…

种群与进化 · 定量生物学 2026-04-01 Isaac Planas-Sitjà , Ryosuke Iritani , Adam L. Cronin

Classical disease models use a mass action term as the interaction between infected and susceptible people in separate patches. We derive the equations when this interaction is a migration of people between patches. The results model what…

生物物理 · 物理学 2009-11-11 Larry S. Liebovitch , Ira B. Schwartz

In ecological systems heterogeneous interactions between pathogens take place simultaneously. This occurs, for instance, when two pathogens cooperate, while at the same time multiple strains of these pathogens co-circulate and compete.…

种群与进化 · 定量生物学 2025-05-05 Francesco Pinotti , Fakhteh Ghanbarnejad , Philipp Hövel , Chiara Poletto
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