  This paper is concerned with a reaction-diffusion single species model with
harvesting on $n$-dimensional isotropically growing domain. The model on
growing domain is derived and the corresponding comparison principle is proved.
The asymptotic behavior of the solution to the problem is obtained by using the
method of upper and lower solutions. The results show that the growth of domain
takes a positive effect on the asymptotic stability of positive steady state
solution while it takes a negative effect on the asymptotic stability of the
trivial solution, but the effect of the harvesting rate is opposite. The
analytical findings are validated with the numerical simulations.
