论文标题
与滞后的种群动力学模型的放松
Relaxation in population dynamics models with hysteresis
论文作者
论文摘要
本文与受国家依赖和非凸控制约束的非线性部分差分控制系统有关。该系统对植被中种群的动力学进行了建模 - 备受推行的框架，并考虑了在此过程中出现的扩散和滞后效应。我们证明了我们系统的解决方案的存在，并证明它们在适当的意义上与具有共脱离控制约束的系统的解决方案接近。
The present paper is concerned with a nonlinear partial differential control system subject to a state-dependent and nonconvex control constraint. This system models the dynamics of populations in the vegetation--prey--predator framework and takes account of diffusive and hysteresis effects appearing in the process. We prove the existence of solutions to our system and show that they are close in a suitable sense to solutions of the system with the convexified control constraint.
