How to solve endemic equilibrium?

Anybody have idea how to solve endemic equilibrium using maple? 

dS/dt=(1−p)π+φV+δR−(μ+λ+ϑ)S

dV/dt=pπ+ϑS−(μ+ϵλ+φ)V

dC/dt=ρλS+ρϵλV+(1−q)ηI−(μ+β+χ)C

dI/dt=(1−ρ)λS+(1−ρ)ϵλV+χC−(μ+α+η)I

dR/dt=βC+qηI−(μ+δ)R

Or solve by hand?