# Dr. OKWOYO JAMES MARIITA

## BSc, (Moi), MSc, (Nairobi), PhD, (JKUAT) Applied Mathematics

Physical Address: CHIROMO CAMPUS SCHOOL OF MATHEMATICSP.O. 30197-00100NAIROBI

0732 614040

Email: jmkwoyo@uonbi.ac.ke

Physical Address: CHIROMO CAMPUS SCHOOL OF MATHEMATICSP.O. 30197-00100NAIROBI

0732 614040

Email: jmkwoyo@uonbi.ac.ke

- Citation:
- Richard Ombaki, Kerongo J, Okwoyo J. "Formulated discrete mathematical model for delayed particle flow in cascaded sub-surface water reservoirs.". 2018.

Pollution of sub-surface water reservoirs mainly rivers, streams, ponds and dams through contaminated water point sources (CWPS) was studied. The objectives were to formulate a discrete time delay mathematical model which describes the dynamics of reservoir pollution using mixing-problem processes that involve single species contaminants such as nutrients, pesticides, insecticides, herbicides and detergents. A conceptual perspective of mixing problem process in water tanks was applied to model delayed particle flow in cascaded water reservoir systems. The concentration (x) of pollutants was expressed as a function of the inflow and outflow rates using the principle for the conservation of mass. Systems of ODEs were generated from principles of mixing problems and then refined into a system of DDEs so that the concentration of pollutant leaving the reservoir at time t would be determined at some earlier