As. Ackleh et al., APPROXIMATION AND PARAMETER-ESTIMATION PROBLEMS FOR ALGAL AGGREGATIONMODELS, Mathematical models and methods in applied sciences, 4(3), 1994, pp. 291-311
Aggregation processes are intrinsic to many biological phenomena inclu
ding sedimentation and coagulation of algae during bloom periods. A fu
ndamental but unresolved problem associated with aggregate processes i
s the determination of the ''stickiness function,'' a measure of the a
bility of particles to adhere to other particles. This leads to an inv
erse problem associated with a claw of nonlinear integro-differential
equations. The purpose of this article is to develop convergence theor
y for this algal coagulation model utilizing a spline-based collocatio
n scheme within the context of the parameter identification problem.