Abstract:
Corruption is the misuse of power or resources for private gain. This undermines economic development,
political stability, and government legitimacy, the society fabric, allocation of resources to sectors crucial
for development, and encourages and perpetuates other illegal opportunities. Despite Mathematical
modeling being a powerful tool in describing real life phenomena it still remains unexploited in the fight
of corruption menace. This study uses Lotka Volterra, predator-prey equations to develop a model to
describe corruption in institutions of higher learning, use the developed model to determine its equilibria,
determine the condition for stability of the equilibria and finally carry out the simulation. The corrupt
students and staff act as predators while their non-corrupt counterparts act as prey in the paper. Theory of
ordinary differential equations was used to determine steady states and their stability. Mathematica was used for algebraic analysis and Matlab was used for numerical analysis and simulation. Analytical result
suggested multiple steady state however numerical result confirmed that the model has four steady states.
Numerical bifurcation analysis suggests the possibility of backward of corrupt staff when is about 39.
Numerical simulation points to an increasing trend on corrupt staff and decrease trend on corrupt student.
This study concludes that more focus should be put to staff than students in curbing the spread of
corruption. Future study should strive to fit this model in real data.
