Keywords

modelling; socio-ecological problems; differential equations with delay; numerical solution; Maple; environmental damage

Location

Session B3: Methods for Visualization and Analysis of High-Dimensional Simulation Model Outputs

Start Date

12-7-2016 5:50 PM

End Date

12-7-2016 6:10 PM

Description

The paper presents modelling complex socio-ecological problems, where relations among individual quantities vary in time. This includes dynamics of processes in the model, which enables to understand time as a continuous quantity and to describe dynamic processes by a system of differential equations with delay. Implementation of these models in Maple system enables both analytic and numerical solutions and their visualizations. The Maple solution of the specific example of the model with delayed argument is shown, where all input parameters can be interactively changed during the solution process, i.e. delay, interval of the solution, or other parameters which have an immediate impact on the given model. The results obtained, provided that the mathematical model is correct, enable us to model the impact of history and its influence as well as the impact of all the mentioned characteristics, and to deepen the knowledge of how the model functions.

 
Jul 12th, 5:50 PM Jul 12th, 6:10 PM

Modelling socio-ecological problems with delay. Case study on environmental damage

Session B3: Methods for Visualization and Analysis of High-Dimensional Simulation Model Outputs

The paper presents modelling complex socio-ecological problems, where relations among individual quantities vary in time. This includes dynamics of processes in the model, which enables to understand time as a continuous quantity and to describe dynamic processes by a system of differential equations with delay. Implementation of these models in Maple system enables both analytic and numerical solutions and their visualizations. The Maple solution of the specific example of the model with delayed argument is shown, where all input parameters can be interactively changed during the solution process, i.e. delay, interval of the solution, or other parameters which have an immediate impact on the given model. The results obtained, provided that the mathematical model is correct, enable us to model the impact of history and its influence as well as the impact of all the mentioned characteristics, and to deepen the knowledge of how the model functions.