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Title : Mathematical Analysis of a SIPC Age-Structured Model for Cervical Cancer
Author :

EMINUGROHO RATNA S (1) Dr. Fajar Adi Kusumo, S.Si., M.Si. (2) Dr.rer.nat. Lina Aryati, M.S. (3)
Date : 0 2022
Keyword : cervical cancer,cells dynamics,age-structured model,force of infection,basic reproduction number,global stability cervical cancer,cells dynamics,age-structured model,force of infection,basic reproduction number,global stability
Abstract : Human Papillomavirus(HPV),which is the main causal factor of cervical cancer, infects normal cervical cells on the specific cell’s age interval, i.e., between the G1 to S phase of cell cycle. Hence, the spread of the viruses in cervical tissue not only depends on the time, but also the cell age. By this fact, we introduce a new model that shows the spread of HPV infections on the cervical tissue by considering the age of cells and the time. 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.
Group of Knowledge : Matematika
Original Language : English
Level : Internasional
Status :
Published
Document
No Title Document Type Action
1 10_3934_mbe_2022281.pdf
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2 Mathematical Analysis of a SIPC Age-Structured Model for Cervical Cancer -- CSim.pdf
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3 Corresponcendes Age Structured Model with Eminugroho .pdf
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