scholarly journals Travelling waves in vole population dynamics

Nature ◽  
10.1038/37261 ◽  
1997 ◽  
Vol 390 (6659) ◽  
pp. 456-456 ◽  
Author(s):  
Esa Ranta ◽  
Veijo Kaitala
Keyword(s):  
Population Dynamics ◽  
Travelling Waves ◽  
Vole Population

Spatial synchronization of vole population dynamics by predatory birds

Nature ◽  
2000 ◽  
Vol 408 (6809) ◽  
pp. 194-196 ◽  
Author(s):  
Rolf A. Ims ◽  
Harry P. Andreassen
Keyword(s):  
Population Dynamics ◽  
Spatial Synchronization ◽  
Vole Population ◽  
Predatory Birds

scholarly journals How Predation and Landscape Fragmentation Affect Vole Population Dynamics

PLoS ONE ◽  
2011 ◽  
Vol 6 (7) ◽  
pp. e22834 ◽  
Author(s):  
Trine Dalkvist ◽  
Richard M. Sibly ◽  
Chris J. Topping
Keyword(s):  
Population Dynamics ◽  
Landscape Fragmentation ◽  
Vole Population

Travelling waves for a reaction–diffusion system in population dynamics and epidemiology

2005 ◽  
Vol 135 (4) ◽  
pp. 663-675 ◽  
Author(s):  
Shangbing Ai ◽  
Wenzhang Huang
Keyword(s):  
Population Dynamics ◽  
Travelling Waves ◽  
Three Dimensional ◽  
Diffusion Constant ◽  
Reaction Diffusion ◽  
Travelling Wave ◽  
Reaction Diffusion Equations ◽  
Dimensional System ◽  
Travelling Wave Solutions ◽  
Wave Solutions

The existence and uniqueness of travelling-wave solutions is investigated for a system of two reaction–diffusion equations where one diffusion constant vanishes. The system arises in population dynamics and epidemiology. Travelling-wave solutions satisfy a three-dimensional system about (u, u′, ν), whose equilibria lie on the u-axis. Our main result shows that, given any wave speed c > 0, the unstable manifold at any point (a, 0, 0) on the u-axis, where a ∈ (0, γ) and γ is a positive number, provides a travelling-wave solution connecting another point (b, 0, 0) on the u-axis, where b:= b(a) ∈ (γ, ∞), and furthermore, b(·): (0, γ) → (γ, ∞) is continuous and bijective

Population dynamics with age-dependent diffusion and death rates

2013 ◽  
Vol 24 (4) ◽  
pp. 471-500 ◽  
Author(s):  
M. AL-JARARHA ◽  
CHUNHUA OU
Keyword(s):  
Integral Equation ◽  
Population Dynamics ◽  
Age Structure ◽  
Travelling Waves ◽  
Bounded Domains ◽  
Death Rates ◽  
Age Dependent ◽  
Spatial Domains ◽  
Unbounded Spatial Domains ◽  
Steady State Solutions

In this paper we investigate the population dynamics of a species with age structure in the case where the diffusion and death rates of the matured population are both age-dependent. We develop a new application of the age-structure technique in terms of an integral equation. For unbounded spatial domains, we study the existence of travelling waves, whilst in bounded domains, we investigate the existence of positive steady-state solutions and their stability.

scholarly journals Towards the rational design of synthetic cells with prescribed population dynamics

2012 ◽  
Vol 9 (76) ◽  
pp. 2883-2898 ◽  
Author(s):  
Neil Dalchau ◽  
Matthew J. Smith ◽  
Samuel Martin ◽  
James R. Brown ◽  
Stephen Emmott ◽  
...  
Keyword(s):  
Population Dynamics ◽  
Design Process ◽  
Rational Design ◽  
Spatial Scales ◽  
Travelling Waves ◽  
Implementation Strategies ◽  
Synthetic Cell ◽  
Synthetic Cells ◽  
Spatio Temporal ◽  
High Level

The rational design of synthetic cell populations with prescribed behaviours is a long-standing goal of synthetic biology, with the potential to greatly accelerate the development of biotechnological applications in areas ranging from medical research to energy production. Achieving this goal requires well-characterized components, modular implementation strategies, simulation across temporal and spatial scales and automatic compilation of high-level designs to low-level genetic parts that function reliably inside cells. Many of these steps are incomplete or only partially understood, and methods for integrating them within a common design framework have yet to be developed. Here, we address these challenges by developing a prototype framework for designing synthetic cells with prescribed population dynamics. We extend the genetic engineering of cells (GEC) language, originally developed for programming intracellular dynamics, with cell population factors such as cell growth, division and dormancy, together with spatio-temporal simulation methods. As a case study, we use our framework to design synthetic cells with predator–prey interactions that, when simulated, produce complex spatio-temporal behaviours such as travelling waves and spatio-temporal chaos. An analysis of our design reveals that environmental factors such as density-dependent dormancy and reduced extracellular space destabilize the population dynamics and increase the range of genetic variants for which complex spatio-temporal behaviours are possible. Our findings highlight the importance of considering such factors during the design process. We then use our analysis of population dynamics to inform the selection of genetic parts, which could be used to obtain the desired spatio-temporal behaviours. By identifying, integrating and automating key stages of the design process, we provide a computational framework for designing synthetic systems, which could be tested in future laboratory studies.

scholarly journals Seasonality shapes the amplitude of vole population dynamics rather than generalist predators

Oikos ◽  
2019 ◽  
Vol 129 (1) ◽  
pp. 117-123 ◽  
Author(s):  
Harry P. Andreassen ◽  
Kaja Johnsen ◽  
Barbara Joncour ◽  
Magne Neby ◽  
Morten Odden
Keyword(s):  
Population Dynamics ◽  
Generalist Predators ◽  
Vole Population

scholarly journals Beech Fructification and Bank Vole Population Dynamics - Combined Analyses of Promoters of Human Puumala Virus Infections in Germany

PLoS ONE ◽  
2015 ◽  
Vol 10 (7) ◽  
pp. e0134124 ◽  
Author(s):  
Daniela Reil ◽  
Christian Imholt ◽  
Jana Anja Eccard ◽  
Jens Jacob
Keyword(s):  
Population Dynamics ◽  
Bank Vole ◽  
Puumala Virus ◽  
Vole Population ◽  
Virus Infections
Sign in / Sign up

Export Citation Format

Share Document