ABSTRACT

Abstract

Mathematics is integral to the study of biological systems. Mathematical models can help researchers explain natural phenomena quantitatively and generate new hypotheses better than with only experimental observations. After translating a biological problem into a collection of mathematical equations, solutions are sought-after and visualized. One of such models is the Lotka-Volterra, which is a representation that models the population of two species. One species is a predator and the other is the prey. The aim of this research work is to design and simulate a computational ecological surveillance system with specific objective to provide an improved numerical solution of the ecological Lotka-Volterra predation model using the mathematical eigen-value and vector method approach. Results of the numerical solutions are presented to show the behaviour of the model and was also favourable with other existing models. It is known that prey-predator activities are arguably building blocks of the bio and ecosystems as biomasses are grown out of their resource masses. Species contend, evolve and disperse merely for the aim of seeking resources to sustain their struggle for their terribly existence. The ecological surveillance system is implemented to show visual interactions between predator and preys which may be used in fields of forestry to aid conservationist and safe countless animals from extinctions. It can also be used in farms to monitor infiltration of predators on crops.

Keywords: Predation; Mathematical Modelling; Ecology; Population.