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Kartono .
Sebelas Maret University
Decision Sciences, Operations Research & Management Education Languange, Linguistic, Communication & Media Mathematics Other

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Journal : MATEMATIKA

 1 
KESTABILAN MODEL SUSCEPTIBLE VACCINATED INFECTED RECOVERED (SVIR) PADA PENYEBARAN PENYAKIT CAMPAK (MEASLES) (Studi Kasus di Kota Semarang) Haryati, Melita; ., Kartono; ., Sunarsih
MATEMATIKA Vol 17, No 1 (2014): Jurnal Matematika
Publisher : MATEMATIKA

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Abstract

Measles is the disease that caused by paramixovirus that infected to the humans by direct contact with infected person. Measles in Semarang was still as endemic disease. The aim of this study is analyze the SVIR (Susceptible Vaccinated Invected Recovered) model of the spread of Measles. This model is a system of nonlinear differential equation which solved by numerical solution with Euler’s method. The study use the data from Semarang Health Department, from the SVIR model generated , disease free equlibrium . If the vaccination rate is increasing, so susceptible people will be decreased and increasing the recovered people. Based on the result of analysis SVIR model in the strategy to control the spread of Measles can be done by developing the program of Measles’ vaccination.
MODEL DINAMIKA PENYEBARAN DBD DENGAN MENERAPKAN TIGA STRATEGI PENGENDALIANNYA ., Kartono; Djuwandi, Djuwandi; ., Farikhin
MATEMATIKA Vol 17, No 1 (2014): Jurnal Matematika
Publisher : MATEMATIKA

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Abstract

The information of the dynamic of dengue fever is needed to build the model of its controlling strategy. Therefore, this research is aimed to develop a mathematical model such that the effectiveness of several controlling strategy for example 3M campaign, treatment to the infected people, andthe applying ofinsecticide can be evaluated. This mathematical model is constructed by classifying the human population into three class that are Suspectible (S), Infected (I) and Removed (R) while the vector population (aedes aegypti mosquito) is assumed belongs to the Infected (I) class. The effectiveness of the controlling strategy is analyzed using maximum Pontryagin principle. The result of this analysis shows that the 3M campaign affects the size of the suspect population.
MODEL PERTUMBUHAN LOGISTIK DENGAN KONTROL OPTIMAL PENYEBARAN DEMAM BERDARAH DENGUE ., Kartono; ., Widowati; Utomo, Robertus Heri Soelistyo; Tjahjana, Redemtus Heru
MATEMATIKA Vol 18, No 1 (2015): Jurnal Matematika
Publisher : MATEMATIKA

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Abstract

Controlling of spread of dengue fever was sought by the government together with the people by, among others, campaigning “3M controlling” and eradicating of the vector population using insecticide and threating the infected people. The aim of this research is constructing the optimal control dynamic model by applying several strategies to control the spread of dengue fever. In this paper, the optimal control is constructed by using host logistic growth population model approach and then it is solved by using maximum Pontryagin principle. The results show that in the equilibrium condition, the effect of the control variable u1 (“3M campaigning” and eradicating of the mosquito by using insecticide) is strongly affected by the rate of the direct contact between host population and the infected and susceptible vector whereas the control variable u2 is strongly affected by the number of the infected host population
Co-Authors . FATIMAH . Haslinda . Herry . Huzaimah . Lisa, . . Metronalius, . . Natalia . Sonem, . . Sumarsih, . . Syahruddin, . . Yulia HS, . ., K.Y Margiati Abet Nego Adriana Iyas Adriyan Saputra Afra F34211241 Aisyah F34211245 Ana Maserina, Ana Assarani F34212011 AYU LESTARI Dabik F34211746 Darius Yosep Dewi Yul Arituyana Dian Marlinasari Djuwandi Djuwandi Edianto F34210367 Edison Ataupah Elawati, . Eleta, Iona Elisabet Evy Elva Sunarti Elya F.34211170 Endang Uliyanti Erni F34211754 Erniati F34211278 Evi Nalisa, Evi F 34211257, Asmara F34211249, Anwar F34211287, Hamamah F34211291, Hartini Farida F34211012 Faridah F.34211281 Ferania Fernanda, Ferania Firminus F34211282 Fitri Apriyanti (F37008053) Gusti Bujang Hamdani F.34211174 Hamidah F 34211685 Hardilah, Mery Henny Mulyaningsih, Henny Herawati F34211689 Hery Kresnadi Iman F 34210377 Jariah F34211177 Juwanda, Farikhin K. Y Margiati K. Y. Margiati K.Y. Margiati Kandida Ilau Kaswari . Katharina, F.34211314 Khaerunnisa F.34211180 Koldin F34211316 Kristina, Sri Endang Kusniah, Any Lailiyatul Fitriani Lestari, Fahmia Purna Lidia Arlina Siagian Lorensiyus F34212015 Lusia F34211182 Mahadhir F37010047 Mahyus, Asfian Maria Lorin Markorina F.33111020 Mastar Asran Melita Haryati, Melita Muh. Muflichun, Muh. Muliyanti F33208027 Mulyana F34211046 Mulyoso F 34211189 Neti F33210022 Novani Adhiza, Novani Nur Hafidin, Nur Nuraeni F34211705 Nurjanah F34211769 Nursyamsiar Tirtowati Pitri Lestari Plorensiana Reni Raden Mohamad Herdian Bhakti Rahasinah F 34210617 Redemtus Heru Tjahjana Ria Ervina Robertus Heri Sulistyo Utomo Rosalina Alvionita Rosnita . Sabina F34212012 Selviana F34210354 Sianturi, Elisabet Sisilia Ince Siswati, Riza Siti Aisah Siti Djuzairoh Siti Halidjah Sogol Hadiyanto Sri Utami Sugiono . Sugiyono . Suhardi Marli Sukarman F34210399 Sukmawati . Sunarsih . Sunarti Asih, Sunarti Supardi F34210125 Suryani . Susi Susanti Suwarsih F34211723 Syahri Azzuar Syamsul Arifin Theresia Mawai Thomas F34211784 Toyib F34210137 Tuti Mariati Tuti Umryaty Udoi Lina Usman, Elya Wardani, Novita Ayu Wawan Hermawan Widowati ., Widowati Yarnila F34210357 Yosep F34210358 Yulia Lilie Yundari, Yundari Yusenta Susilawati Yustina Onya, Yustina Zainuddin .