scholarly journals Delay driven spatiotemporal chaos in single species population dynamics models

2016 ◽  
Vol 110 ◽  
pp. 51-62 ◽  
Author(s):  
Masha Jankovic ◽  
Sergei Petrovskii ◽  
Malay Banerjee
Keyword(s):  
Population Dynamics ◽  
Single Species ◽  
Spatiotemporal Chaos ◽  
Species Population ◽  
Population Dynamics Models ◽  
Single Species Population ◽  
Dynamics Models

scholarly journals Coarse, Medium or Fine? A Quantum Mechanics Approach to Single Species Population Dynamics

2020 ◽  
Author(s):  
Olcay Akman ◽  
Leon Arriola ◽  
Aditi Ghosh ◽  
Ryan Schroeder
Keyword(s):  
Population Dynamics ◽  
Quantum Mechanics ◽  
Single Species ◽  
Stable Equilibrium Point ◽  
Ode Model ◽  
Deterministic Models ◽  
Species Population ◽  
Quantum Approach ◽  
Single Species Population ◽  
Quantum Framework

AbstractStandard heuristic mathematical models of population dynamics are often constructed using ordinary differential equations (ODEs). These deterministic models yield pre-dictable results which allow researchers to make informed recommendations on public policy. A common immigration, natural death, and fission ODE model is derived from a quantum mechanics view. This macroscopic ODE predicts that there is only one stable equilibrium point . We therefore presume that as t → ∞, the expected value should be . The quantum framework presented here yields the same standard ODE model, however with very unexpected quantum results, namely . The obvious questions are: why isn’t , why are the probabilities ≈ 0.37, and where is the missing probability of 0.26? The answer lies in quantum tunneling of probabilities. The goal of this paper is to study these tunneling effects that give specific predictions of the uncertainty in the population at the macroscopic level. These quantum effects open the possibility of searching for “black–swan” events. In other words, using the more sophisticated quantum approach, we may be able to make quantitative statements about rare events that have significant ramifications to the dynamical system.

scholarly journals Predicting coral community recovery using multi-species population dynamics models

2018 ◽  
Vol 21 (12) ◽  
pp. 1790-1799 ◽  
Author(s):  
Mohsen Kayal ◽  
Hunter S. Lenihan ◽  
Andrew J. Brooks ◽  
Sally J. Holbrook ◽  
Russell J. Schmitt ◽  
...  
Keyword(s):  
Population Dynamics ◽  
Coral Community ◽  
Community Recovery ◽  
Species Population ◽  
Population Dynamics Models ◽  
Dynamics Models
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