RESUMEN

In this paper a method for studying stability of the equation [Formula: see text] not including explicitly the first derivative is proposed. We demonstrate that although the corresponding ordinary differential equation [Formula: see text] is not exponentially stable, the delay equation can be exponentially stable.

RESUMEN

For three different types of angiogenesis models with variable delays, we consider either continuous or impulse therapy that eradicates tumor cells and suppresses angiogenesis. For the cancer-free solution, explicit conditions of global stability for the continuous and impulsive systems are obtained, together with delay-dependent estimates for the rates of decay for the tumor volume and pathological angiogenesis.

Asunto(s)

Modelos Biológicos , Neoplasias/tratamiento farmacológico , Neoplasias/fisiopatología , Neovascularización Patológica/tratamiento farmacológico , Neovascularización Patológica/fisiopatología , Simulación por Computador , Factores de Tiempo