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The model is a four dimensional system of the first order partial differential equations with time and age independent variables, where the cells population is divided into four sub-populations, i.e., susceptible cells, infected cells by HPV, precancerous cells, and cancer cells. There are two types of the steady state solution of the system, i.e., disease-free and cancerous steady state solutions, where the stability is determined by using Fatou's lemma and solving some integral equations. In this case, we use a non-standard method to calculate the basic reproduction number of the system. Lastly, we use numerical simulations to show the dynamics of the age-structured system.&lt;\/p&gt;&lt;\/abstract&gt;<\/jats:p>","DOI":"10.3934\/mbe.2022281","type":"journal-article","created":{"date-parts":[[2022,4,12]],"date-time":"2022-04-12T10:18:37Z","timestamp":1649758717000},"page":"6013-6039","source":"Crossref","is-referenced-by-count":7,"title":["Mathematical analysis of a SIPC age-structured model of cervical cancer"],"prefix":"10.3934","volume":"19","author":[{"given":"Eminugroho Ratna","family":"Sari","sequence":"first","affiliation":[{"name":"Department of Mathematics, Universitas Gadjah Mada, Yogyakarta 55281, Indonesia"},{"name":"Department of Mathematics Education, Universitas Negeri Yogyakarta, Yogyakarta 55281, Indonesia"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Fajar","family":"Adi-Kusumo","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Universitas Gadjah Mada, Yogyakarta 55281, Indonesia"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Lina","family":"Aryati","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Universitas Gadjah Mada, Yogyakarta 55281, Indonesia"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"2321","reference":[{"key":"key-10.3934\/mbe.2022281-1","doi-asserted-by":"publisher","unstructured":"S. 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