Preliminaries on a Stochastic Cellular Automaton Based Framework for Studying the Population Dynamics of COVID-19

2021 ◽  
pp. 265-273
Author(s):  
Isaías Lima ◽  
Pedro Paulo Balbi
Keyword(s):  
Population Dynamics ◽  
Cellular Automaton ◽  
Stochastic Cellular Automaton

Of Mice and Men: What Rodent Populations Can Teach Us about Complex Spatial Dynamics

1988 ◽  
Vol 20 (1) ◽  
pp. 99-109 ◽  
Author(s):  
H Couclelis
Keyword(s):  
Population Dynamics ◽  
Complex Systems ◽  
Cellular Automaton ◽  
Chaotic System ◽  
Spatial Dynamics ◽  
Human Geography ◽  
System Behavior ◽  
Rodent Population ◽  
Rodent Populations ◽  
Scientific Fields

Models of complex systems need not be themselves complex, let alone complicated. To illustrate this important point, a very simple cellular automaton model of rodent population dynamics is used to generate a wide variety of different spatiotemporal structures corresponding to different forms of equilibrium, cyclical, quasi-cyclical, and chaotic system behavior. The issue of complexity as it pertains to a number of different contemporary scientific fields is then discussed, and in particular its implications for prediction. The discussion ends with some general reflexions about modeling in human geography.

TRAIL FOLLOWING AND AGGREGATION OF MYXOBACTERIA

1995 ◽  
Vol 03 (04) ◽  
pp. 1059-1068 ◽  
Author(s):  
ANGELA STEVENS
Keyword(s):  
Partial Differential Equations ◽  
Differential Equations ◽  
Cellular Automaton ◽  
Particle System ◽  
Jump Process ◽  
Trail Following ◽  
Starting Point ◽  
Chemotaxis System ◽  
Stochastic Cellular Automaton ◽  
Moderate Interaction

This paper deals with the question whether myxobacteria can aggregate due to slime trail following. The starting point is a stochastic cellular automaton model where the bacteria are particles moving due to the rules of a jump process. A simplified case of this automaton shows that the slime has to be produced in an extremely high amount to account for aggregation. This simplified cellular automaton is connected to a stochastic many particle system from which a system of partial differential equations can be derived, a so-called chemotaxis-system. Here a moderate interaction between the particles has to be taken into account. In the last part this system is analyzed numerically to see whether it reflects the results of the simplified cellular automaton.

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