Diterbitkan oleh Program studi matematika FSAINTEK secara berkala terbit 2 kali setahun pada bulan Juni dan Desember yang m Volume 5, Issue 1, November 2017 Jurnal Matematika Murni dan Aplikasi Malang November 2017 CAUCHY No. 1 Pages: 1-41 Vol. 5 ISSN 2086-0382 E-ISSN 2477-3344 ISSN 2086-0382 E-ISSN 2477-3344 CAUCHY  Editor in Chief : Dr. Sri Harini, M.Si, Maulana Malik Ibrahim State Islamic University of Malang, Indonesia. Managing Editor : Mohammad Jamhuri, M.Si, Maulana Malik Ibrahim State Islamic University of Malang, Indonesia. Juhari, M.Si, Maulana Malik Ibrahim State Islamic University of Malang, Indonesia. Editorial Board : Dr Mario Rosario Guarracino, Computational and Data Science Laboratory High Performance Computing and Networking Institute National Research Council of Italy, Italy Kartick Chandra Mondal, Jadavpur University, Salt Lake Campus, India Rowena Alma L. Betty, University of the Philippines Diliman, Philippines Subanar Seno, Gadjah Mada University, Indonesia Toto Nusantara, State University Of Malang, Indonesia Edy Tri Baskoro, Institut Teknologi Bandung, Indonesia Eridani Eridani, Airlangga University, Indonesia Abdul Halim Abdullah, University of Technology Malaysia, Malaysia Kusno Kusno, University of Jember, Indonesia Slamin Slamin, University of Jember, Indonesia Dr Riswan Efendi, UIN Sultan Syarif Kasim Riau, Indonesia Arief Fatchul Huda, UIN Sunan Gunung Djati Bandung, Indonesia Usman Pagalay, Maulana Malik Ibrahim State Islamic University of Malang, Indonesia Abdussakir Abdussakir, Maulana Malik Ibrahim State Islamic University of Malang, Indonesia Ari Kusumastuti, Maulana Malik Ibrahim State Islamic University of Malang, Indonesia Fachrur Rozi, Maulana Malik Ibrahim State Islamic University of Malang, Indonesia Elly Susanti, Universitas Islam Negeri Maulana Malik Ibrahim Malang, Indonesia Jurnal Matematika Murni dan Aplikasi CAUCHY is a mathematical journal published twice a year on May and November by the Mathematics Department, Faculty of Science and Technology, Maulana Malik Ibrahim State Islamic University of Malang. This journal includes research papers, literature studies, analysis, and problem solving in Mathematics (Algebra, Analysis, Statistics, Computing and Applied Mathematics). Volume 5, Issue 1, November 2017 ISSN 2086-0382 E-ISSN 2477-3344 CAUCHY EDITORIAL BOARD javascript:openRTWindow('http://ejournal.uin-malang.ac.id/index.php/Math/about/editorialTeamBio/5962') javascript:openRTWindow('http://ejournal.uin-malang.ac.id/index.php/Math/about/editorialTeamBio/5963') javascript:openRTWindow('http://ejournal.uin-malang.ac.id/index.php/Math/about/editorialTeamBio/5478') javascript:openRTWindow('http://ejournal.uin-malang.ac.id/index.php/Math/about/editorialTeamBio/5964') javascript:openRTWindow('http://ejournal.uin-malang.ac.id/index.php/Math/about/editorialTeamBio/5048') javascript:openRTWindow('http://ejournal.uin-malang.ac.id/index.php/Math/about/editorialTeamBio/5449') javascript:openRTWindow('http://ejournal.uin-malang.ac.id/index.php/Math/about/editorialTeamBio/5448') javascript:openRTWindow('http://ejournal.uin-malang.ac.id/index.php/Math/about/editorialTeamBio/5446') javascript:openRTWindow('http://ejournal.uin-malang.ac.id/index.php/Math/about/editorialTeamBio/5445') javascript:openRTWindow('http://ejournal.uin-malang.ac.id/index.php/Math/about/editorialTeamBio/5444') javascript:openRTWindow('http://ejournal.uin-malang.ac.id/index.php/Math/about/editorialTeamBio/5443') javascript:openRTWindow('http://ejournal.uin-malang.ac.id/index.php/Math/about/editorialTeamBio/5437') javascript:openRTWindow('http://ejournal.uin-malang.ac.id/index.php/Math/about/editorialTeamBio/5056') javascript:openRTWindow('http://ejournal.uin-malang.ac.id/index.php/Math/about/editorialTeamBio/5055') javascript:openRTWindow('http://ejournal.uin-malang.ac.id/index.php/Math/about/editorialTeamBio/5079') javascript:openRTWindow('http://ejournal.uin-malang.ac.id/index.php/Math/about/editorialTeamBio/4983') javascript:openRTWindow('http://ejournal.uin-malang.ac.id/index.php/Math/about/editorialTeamBio/5910') Assistant Editor : Mohammad Nafie Jauhari, M.Si, Maulana Malik Ibrahim State Islamic University of Malang, Indonesia. Editorial Office Mathematics Department, Maulana Malik Ibrahim State Islamic University of Malang Gajayana st. 50 Malang, East Java, Indonesia 65144 Phone (+62) 81336397956, Faximile (+62) 341 558933 e-mail: cauchy@uin-malang.ac.id Jurnal Matematika Murni dan Aplikasi Volume 5, Issue 1, November 2017 ISSN 2086-0382 E-ISSN 2477-3344 CAUCHY FOCUS AND SCOPE CAUCHY-Jurnal Matematika Murni dan Aplikasi is a mathematical journal published twice a year in May and November by the Mathematics Department, Faculty of Science and Technology, Maulana Malik Ibrahim State Islamic University of Malang. We welcome authors for original articles (research), review articles, interesting case reports, special articles illustrations that focus on the Mathematics Pure and Applied. Subjects suitable for publication include, but are not limited to the following fields of: 1. Actuaria 2. Algebra 3. Analysis 4. Applied 5. Computing 6. Econometry 7. Statistics Jurnal Matematika Murni dan Aplikasi Volume 5, Issue 1, November 2017 ISSN 2086-0382 E-ISSN 2477-3344 CAUCHY INDEXING AND ABSTRACTING CAUCHY-Jurnal Matematika Murni dan Aplikasi has been covered (indexed and abstracted) by following services: 1. DOAJ - (2016-,)(https://doaj.org/toc/2477-3344) 2. Sherpa/Romeo - (2016-,)-(http://www.sherpa.ac.uk/romeo/search.php) 3. Infobase Index - (2016-,)-(http://infobaseindex.com/journal-accepted.php) 4. Index Copernicus - (2015-,)-(http://journals.indexcopernicus.com/form/login.php) 5. Moraref - (2015-,)-(http://moraref.or.id/index.php/browse/index/36) 6. OneSearch Indonesia - (2015-,)-(http://onesearch.id/Search/Results?filter[]=repoId:IOS2732) 7. ROAD - (2015-,)-(http://road.issn.org/issn/2477-3344-cauchy#.V6AkW2deBT-) 8. Advanced Sciences Index - (2015-,)-(http://journal-index.org/index.php/asi/issue/view/17) 9. DAIJ - (2015-,)-(http://www.daij.org/journal-detail.php?jid=1147) 10. ISSUU - (2015-,)-(https://issuu.com/journalcauchy) 11. JournalTOCs-(2015-,) (http://www.journaltocs.ac.uk/index.php?action=search&subAction=hits&journalID=26700&userQueryI D=25934&high=1&ps=30&page=1&items=0&journal_filter=&journalby=) 12. I2OR - (2015-,)-(http://www.i2or.com/7.html) 13. AcademicKeys - (2015-,)-(http://socialsciences.academickeys.com/jour_main.php) 14. Universal Impact Factor - (2015-,)-(http://www.uifactor.org/JournalDetails.aspx?jid=4353) 15. WorlCat-OCLC - (2015-,)-(https://www.worldcat.org/title/cauchy-jurnal-matematika-murni-dan- aplikasi/oclc/950752934&referer=brief_results) 16. CiteFactor - (2015-,)-(http://www.citefactor.org/journal/index/13830/cauchy#.V6Aw42deBT-) 17. ESJI - (2015-,)-(http://esjindex.org/search.php?id=1042) 18. ScholarSteer - (2015-,)- (http://www.scholarsteer.com/?s=cauchy&post_type=custom_journal&submit=Submit) 19. iiiFactor - (2015-,)- (http://iiifactor.org/index.php?option=com_jvld&Itemid=479&view=links&cid=124&limitstart=-1) 20. International Innovative Journal Impact Factor - (2015-,)- (http://iijif.com/Indexed%20Journals.php?page=1) 21. Academia.edu - (2014-,)-(https://uin-malang.academia.edu/Cauchy) 22. ResearchBib - (2014-,)-(http://journalseeker.researchbib.com/view/issn/2086-0382) 23. BASE - (2014-,)-(https://www.base- search.net/Search/Results?lookfor=dccoll%3Aftuniinmalangojs+url%3Amath&refid=dclink) 24. Tei - (2014-,)-(http://turkegitimindeksi.com/Journals.aspx?ID=412) 25. Cosmos Impact Factor - (2014-,)- (http://www.cosmosimpactfactor.com/page/journals_details/943.html) 26. GIF - (2014-,)-(http://globalimpactfactor.com/cauchy/) 27. Scientific Indexing Service - (2014-,)-(http://www.sindexs.org/JournalList.aspx?ID=2193) 28. Mendeley - (2013-,)-(https://www.mendeley.com/groups/5034091/cauchy/papers/) 29. Indonesian Scientific Journal Database (ISJD) - (2013-,)-(http://isjd.pdii.lipi.go.id/index.php/Direktori- Jurnal.html) 30. Google Scholar - (2009-,)-(https://scholar.google.co.id/citations?hl=en&view_op=list_works&gmla=AJsN- F6OmoFBk7Q0o2Q-9- XUIMca1zI8OZ9Lp2EhCtubhL9dCisxNYH9sAiEAU0g0UDT8tyM6Jk3Z666Zu46VRsBYZ6Vjc2a_w&user=dr K-5HkAAAAJ) 31. IPI - (2009-,)-(http://id.portalgaruda.org/?ref=browse&mod=viewjournal&journal=5272) Jurnal Matematika Murni dan Aplikasi Volume 5, Issue 1, November 2017 ISSN 2086-0382 E-ISSN 2477-3344 CAUCHY TABLE OF CONTENTS Applied Hierarchical Cluster Analysis with Average Linkage Algoritm .................................................................................. 1-7 Estimation of Geographically Weighted Regression Case Study on Wet Land Paddy Productivities in Tulungagung Regency .................................................................................................................................................................................. 8-14 Geographically Weighted Regression (GWR) Modelling with Weighted Fixed Gaussian Kernel and Queen Contiguity for Dengue Fever Case Data ............................................................................................................................................ 15-19 Local Stability Analysis of an SVIR Epidemic Model ................................................................................................................... 20-28 Modelling of Multi Input Transfer Function for Rainfall Forecasting in Batu City ...................................................... 29-35 The Simulation Study to Test the Performance of Quantile Regression Method with Heteroscedastic Error Variance............................................................................................................................................................................................................ 36-41