This work demonstrates an objective way to select parameter values for a quadratic integrate-and-fire model so that its bifurcation diagram matches a specific target diagram, generated from the ...
Abstract: In this study, we proposed a data-driven method for reconstructing bifurcation diagrams (BDs) of discrete dynamical systems only from observed time-series, without a priori knowledge of ...
ABSTRACT: In this paper, we investigate an SIS model with treatment and immigration. Firstly, the two-dimensional model is simplified by using the stochastic averaging method. Then, we derive the ...
To mathematicians, equations are art. Just as many are moved by a painting or piece of music, to those who appreciate and understand math, expressions of numbers, variables, operations and relations ...
The logistic function is a function known from the chaos theories. It represents a model of e.g. how fast a rabbits reproduce and other processes. below 1 the function stabilizes goes to 0 between 1 ...
Imaging-guided percutaneous coronary intervention (PCI) is associated with better clinical outcomes than angiography-guided PCI. Whether routine optical coherence tomography (OCT) guidance in PCI of ...
Abstract: Multiple time lags can occur very naturally in the study of population dynamics. In this paper, we study two forms of the delay logistic equation with two discrete time delays. For both the ...
Mathematical equations offer unique windows into the world. They make sense of reality and help us see things that haven't been previously noticed. So it’s no surprise that new developments in math ...