Abstract: We consider
the stability of positive solution to a
reaction-diffusion equation which models the
constant yield harvesting to a spatially
heterogeneous population which satisfies a logistic
growth. Next we provide a direct uniqueness proof to
the problems of the form
under
certain conditions, where W
is a bounded domain in RN (N³
3)with
smooth boundary ¶W,
Dpdenotes
the p-Laplacian
operator defined by We
also study the stability of positive solution to the
special type of function g(x,
u)in
the case p
= 2.
Keywords and phrases: logistic
equation, p-Laplacian,
stability, uniqueness.
