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Abstract
A class of man-environment epidemic systems with integral boundary (feedback is presented. Existence, uniqueness and comparison theorems are given for a system involving a nonlinear degenerate parabolic equation and a semilinear parabolic equation under a nonlinear boundary condition which couples the two equations. This system includes the epidemic model. Conditions for the existence and the asymptotic stability of a unique nontrivial equilibrium solution are stated for this model.
AMS (MOS):
δWork performed under the auspices of the GNAFA-CNR (L.M.) and GNFM-CNR (V.C.) with the financial support of the program "Control of Infectious Diseases" (CNR-Italy) and M.P.I.-Italy.
δWork performed under the auspices of the GNAFA-CNR (L.M.) and GNFM-CNR (V.C.) with the financial support of the program "Control of Infectious Diseases" (CNR-Italy) and M.P.I.-Italy.
Notes
δWork performed under the auspices of the GNAFA-CNR (L.M.) and GNFM-CNR (V.C.) with the financial support of the program "Control of Infectious Diseases" (CNR-Italy) and M.P.I.-Italy.