Title :
Dynamics and Traveling Waves in CNN Vector Disease Model
Author_Institution :
Inst. of Math. & Informatics, Bulgarian Acad. of Sci., Sofia
Abstract :
In this brief, a cellular neural network (CNN) vector disease model is investigated from the point of view of its dynamics. Some vector-borne diseases such as malaria, yellow fever, and typhus, which arrive and spread in new areas, are one of the main public health problems throughout the world. The investigations of the spatial spread of newly introduced diseases are interesting and challenging for both theory and applications. Existence of traveling waves for such CNN vector disease model is proved. Simulations of the obtained CNN model are given, which confirm the obtained theoretical results
Keywords :
cellular neural nets; diseases; health and safety; CNN; cellular neural network; diseases spreading; harmonic balance method; public health problems; traveling waves; vector disease model; Cellular neural networks; Convolution; Diseases; Integral equations; Integrodifferential equations; Kernel; Mathematics; Microorganisms; Neural networks; Public healthcare; Cellular neural network (CNN); harmonic balance method; traveling waves; vector disease model;
Journal_Title :
Circuits and Systems II: Express Briefs, IEEE Transactions on
DOI :
10.1109/TCSII.2006.882358
