Construction of analytically solvable models for interacting species

✍ Scribed by Gerald Rosen

• Publisher: Springer
• Year: 1976
• Tongue: English
• Weight: 217 KB
• Volume: 38
• Category: Article
• ISSN: 1522-9602
• DOI: 10.1016/s0092-8240(76)80032-8

✦ Synopsis

By observing that the n-tuple of rate functions Q(c) is orthogonal to the c-space gradients of each of the (n -1) constants of the motion (I),(c), a generic canonical expression for the rate functions is given in terms of the exterior product of the gradients of the (n -l) (I)/s. For models with O so prescribed from the outset, an analytical general solution is obtain. able directly for the system of autonomous ordinary differential equations dc/dt = O(c). Thus, the generic canonical expression for the rate functions can be utilized to construct analytically solvable models for interacting biological species, as illustrated by examples here.