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All Journal MATEMATIKA SAINS DAN MATEMATIKA
Firsty Nur Hidayati
Universitas Diponegoro
Mathematics

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MODEL PREDATOR DAN PREY DENGAN MODEL SUSCEPTIBLE - INFECTED – SUSCEPTIBLE HIDAYATI, FIRSTY Nur; SUNARSIH, SUNARSIH
MATEMATIKA Vol 13, No 1 (2010): JURNAL MATEMATIKA
Publisher : MATEMATIKA

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Abstract

 A predator-prey model with infected prey is an interaction between a predator and a prey population with infected prey. This model is a result of the predator-prey model with logistic growth in the prey population which is combined with Susceptible-Infected-Susceptible (SIS) model in the prey. The equations in this model are non linear differential equation with three dependent variables. In this system, is size of prey population at time , is the fraction of the prey that are infectious at time and is size of predator population at time . It is assumed that infected prey are vulnerable than by a factor . Stability analysis system is done to all five equilibriain this linearized. Each of stability in those equilibria points is based on theeigen values.  
MODEL PERTUMBUHAN LOGISTIK PREDATOR DAN PREY PADA POPULASI PREY DAN SOLUSI KESETIMBANGAN Sunarsih, Sunarsih; Hidayati, Firsty Nur
JURNAL SAINS DAN MATEMATIKA Volume 18 Issue 1 Year 2010
Publisher : JURNAL SAINS DAN MATEMATIKA

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Abstract

ABTRACT-- A  predator-prey model with logistic growth in the prey population is an iknteraction between  a  predator and  a  prey  population with logistic  growth  in the  prey  population. The  equations  in this model  are  non  linear dffirentiat  equation  with two dependent  variables.  In this  system,  H(t)  X size  of  prey population at time t  and P(t) is size  of  predator  population  at time t . This  model  have  three  equilibria.Key words  : logistic,  predator and  prey, equilibrium  pointPermalink : http://ejournal.undip.ac.id/index.php/sm/article/view/3118
Co-Authors Sunarsih Sunarsih