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Reaction–diffusion waves in biology
The theory of reaction–diffusion waves begins in the 1930s with the works in population
dynamics, combustion theory and chemical kinetics. At the present time, it is a well …
dynamics, combustion theory and chemical kinetics. At the present time, it is a well …
Periodic travelling waves in cyclic populations: field studies and reaction–diffusion models
Periodic travelling waves have been reported in a number of recent spatio-temporal field
studies of populations undergoing multi-year cycles. Mathematical modelling has a major …
studies of populations undergoing multi-year cycles. Mathematical modelling has a major …
[ספר][B] Allee effects in ecology and conservation
F Courchamp, L Berec, J Gascoigne - 2008 - books.google.com
Allee effects are (broadly) defined as a decline in individual fitness at low population size or
density. They can result in critical population thresholds below which populations crash to …
density. They can result in critical population thresholds below which populations crash to …
[HTML][HTML] Prediction of the spatial distribution of Alternanthera philoxeroides in China based on ArcGIS and MaxEnt
As an invasive alien species, Alternanthera philoxeroides has spread rapidly in China since
its invasion, which has caused serious harm to the ecological environment and substantial …
its invasion, which has caused serious harm to the ecological environment and substantial …
[ספר][B] The mathematics behind biological invasions
MA Lewis, SV Petrovskii, JR Potts - 2016 - Springer
Biological invasions are increasingly commonplace, driven primarily by the accidental
human transport of exotic species via ship** or trade. The economic impacts can be …
human transport of exotic species via ship** or trade. The economic impacts can be …
[ספר][B] Spatiotemporal patterns in ecology and epidemiology: theory, models, and simulation
H Malchow, SV Petrovskii, E Venturino - 2007 - taylorfrancis.com
Although the spatial dimension of ecosystem dynamics is now widely recognized, the
specific mechanisms behind species patterning in space are still poorly understood and the …
specific mechanisms behind species patterning in space are still poorly understood and the …
Forecasting global spread of invasive pests and pathogens through international trade
Non‐native plant pests and pathogens threaten biodiversity, ecosystem function, food
security, and economic livelihoods. As new invasive populations establish, often as an …
security, and economic livelihoods. As new invasive populations establish, often as an …
[ספר][B] Elliptic partial differential equations
V Volpert - 2014 - Springer
If we had to formulate in one sentence what this book is about, it might be “How partial
differential equations can help to understand heat explosion, tumor growth or evolution of …
differential equations can help to understand heat explosion, tumor growth or evolution of …
[HTML][HTML] Physics-informed neural networks and functional interpolation for data-driven parameters discovery of epidemiological compartmental models
In this work, we apply a novel and accurate Physics-Informed Neural Network Theory of
Functional Connections (PINN-TFC) based framework, called Extreme Theory of Functional …
Functional Connections (PINN-TFC) based framework, called Extreme Theory of Functional …
Variation in environmental stochasticity dramatically affects viability and extinction time in a predator–prey system with high prey group cohesion
Understanding how tip** points arise is critical for population protection and ecosystem
robustness. This work evaluates the impact of environmental stochasticity on the emergence …
robustness. This work evaluates the impact of environmental stochasticity on the emergence …