Stopping time estimation of first order multidimensional interval-valued differential equations

Stopping time problem of first order multidimensional interval-valued dynamic system is discussed. By calculating stopping times of corresponding linear differential equations, we provide some estimation results of stopping times of forward and backward solutions to nonlinear interval- valued differential equations with respect to length or volume constraints. Then, stopping times of some linear and nonlinear interval-valued differential equations models, including predator- prey system, two species mutualism and competition systems, Lorenz equations, are studied as applications.