Abstract Thermal convection in a fluid-saturated porous medium was analyzed using a thermal non-equilibrium model to take account of the interphase heat transfer between the fluid and the solid. An autonomous system with five differential equations was de Abstract Thermal convection in a fluid-saturated porous medium was analyzed using a thermal non-equilibrium model to take account of the interphase heat transfer between the fluid and the solid. An autonomous system with five differential equations was de