Abstract
Consider a three-dimensional system having an invariant surface and a weak focus of order k on the invariant surface. By using bifurcation techniques and analyzing the solutions of bifurcation equations, we study the spatial bifurcation phenomena near the weak focus and obtain the conditions for the existence of periodic orbits near the weak focus. An application of our results to a SIRS epidemiological model is given.
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Schedule a callMore From: International Journal of Bifurcation and Chaos [In Applied Sciences and Engineering]
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