Chapter 5 Planar Periodic Systems of Population Dynamics

This chapter analyzes the dynamics of the positive solutions of a general class of planar periodic systems including those of Lotka-Volterra type and a more general class of models simulating symbiotic interactions within global competitive environments. It seems this is the first occasion where this problematic has been addressed within the context of periodic planar systems. Most of our mathematical analysis is focused towards the study of the existence of coexistence states and the problem of ascertaining the structure, multiplicity and stability of these coexistence states in purely symbiotic, and competitive, environments.