论文标题
在无限许多成员的高循环方程式上
On a hypercycle equation with infinitely many members
论文作者
论文摘要
具有无限多种类型的大分子的高循环方程式在分析和数值上都进行了制定和研究。所得模型由混合类型的全差异方程式给出。制定并证明了解决方案的存在，独特性和非阴性的充分条件。提供了分析证据，证明存在不均匀（相对于第二个变量）稳态。最后，数值模拟强烈表明以波序列形式存在稳定的非线性波。
A hypercycle equation with infinitely many types of macromolecules is formulated and studied both analytically and numerically. The resulting model is given by an integro-differential equation of the mixed type. Sufficient conditions for the existence, uniqueness, and non-negativity of solutions are formulated and proved. Analytical evidence is provided for the existence of non-uniform (with respect to the second variable) steady states. Finally, numerical simulations strongly indicate the existence of a stable nonlinear wave in the form of the wave train.
