MODEL DINAMIK FASE PERTUMBUHAN BUAH KELAPA

Abstract

Coconut (Cocos nucifera L.) is one of the Indonesian potential natural plant resources. Its fruit is a main part of the tree that plays an important role in raw materials industry. It is because the material could be processed to be a benefical various products. The diversity of the coconut fruit products leads to the importance of the study on coconut growth phase development. The model is expressed in a system of differential equation 𝑑𝑀 𝑑𝑡 = 𝑅 − 𝛼𝑀 − 𝜇1𝑀, 𝑑𝑃 𝑑𝑡 = 𝛼𝑀 − 𝜇2𝑃 − 𝛽𝑃, 𝑑𝐶 𝑑𝑡 = 𝛽𝑃 − 𝜇3𝐶 − ϵ𝐶, 𝑑𝑀𝑎 𝑑𝑡 = 𝜖𝐶 − 𝜇4𝑀𝑎 − γ𝑀𝑎, 𝑑𝑀𝑠 𝑑𝑡 = 𝛾𝑀𝑎 − 𝜇5𝑀𝑠 − 𝜎𝑀𝑠, 𝑑𝑀𝑝 𝑑𝑡 = 𝜎𝑀𝑠 − 𝜇6𝑀𝑝 . The dinamic of coconut growth phase is studied by consider its stability at the critical point. The stability is determined using linearization method. The solution is analyzed both analitically and numerically. Simulated a stable endemic critical point indicates that the coconut production could be well prevent in each phase of growth