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math.DS2023
Using a library of chemical reactions to fit systems of ordinary differential equations to agent-based models: a machine learning approach
Pamela M. Burrage, Hasitha N. Weerasinghe, Kevin Burrage
In this paper we introduce a new method based on a library of chemical reactions for constructing a system of ordinary differential equations from stochastic simulations arising fr…
math.DS2023
Stability switching in Lotka-Volterra and Ricker-type predator-prey systems with arbitrary step size
Shamika P. Kekulthotuwage Don, Kevin Burrage, Kate J. Helmstedt +1
Dynamical properties of numerically approximated discrete systems may become inconsistent with those of the corresponding continuous-time system. We present a qualitative analysis…