We study the positive solutions to steady state reaction diffusion equations with Dirichlet boundary conditions of the forms: \begin{align} -u''&=\left\{\begin{array}{ll} \lambda[au-bu^{2}-c], & x\in(L,1-L),\\ \lambda[au-bu^{2}], & x\in(0,L)\cup(1-L,1), \end{array} \right.\tag{A}\\ u(0)&=0 =u(1),\nonumber \end{align} and \begin{align} -u''&=\left\{\begin{array}{ll} \lambda[au-bu^{2}-c], & x\in(0,\frac{1}{2}),\\ \lambda[au-bu^{2}], & x\in(\frac{1}{2},1), \end{array} \right.\tag{B}\\ u(0)&=0 =u(1).\nonumber \end{align} Here $\lambda, a, b, c$ and $L$ are positive constants with $0