MATHEMATICAL MODEL OF FISH CONSUMPTION AND ITS IMPACT ON COMMUNITY HEALTH

Abstract

Fish is a food that is very beneficial for public health. The abundant fishery resources are owned by Indonesia as a maritime country, therefore this thesis discusses the model and its impact on public health using negative exponential (Malthus law) equations. This model consists of 3 classes. Those are people without the risk of coronary heart disease (CHD), people with the risk of coronary heart disease (CHD), and biomass fish populations. Stability analysis for fish-free equilibrium and equilibrium with negative Malthus law were determined based on Routh Hurwitz stability criteria. Numerical simulations show changes in people's health by consuming fish and changing people's health by not consuming fish. The graph simulation results using MATLAB describe that people who consume fish, the risk of coronary heart disease (CHD) has decreased while the people who do not consume fish have an increase in coronary heart disease. Keywords: Exponential equation (Malthus law), fish, mathematical models, public health, stability analysis