Open Access Open Access  Restricted Access Subscription or Fee Access

A cancer and hepatitis co-infection model

Gbenga J. Abiodun, Kazeem O. Okosun, Oluwole D. Makinde


Cancer and hepatitis are global infectious diseases claiming millions of lives every year. In this study, we develop and analyse a cancer and hepatitis co-infection model to examine the relationship between the two diseases. In addition, we derive and analyse the reproduction numbers of each and both diseases. We explore the sensitivity of the reproduction numbers of both diseases to parameters, and performed the numerical simulations of the model. Our analyses show that the cancer-hepatitis model has disease-free equilibrium whenever the reproduction number is less than unity, and has a unique endemic equilibrium if the reproduction number is greater than one. Also our analyses highlight the impact of hepatitis on cancer and vise versa. Furthermore, our numerical solutions indicate that the carrying capacity and progression rate from susceptible to hepatitis and cancer play crucial roles in determining the population dynamics of both diseases. Although, our results highlight the impact of hepatitis on cancer, an increase in the proportion of cells migrating from susceptible to hepatitis will have more impact on the hepatitis-infected than cancer-infected cells. Our results also suggest that more cells are recovered under a reduced carrying capacity.


Cancer, Hepatitis, Basic reproduction number, Infected cells.

Full Text:



  • There are currently no refbacks.

Disclaimer/Regarding indexing issue:

We have provided the online access of all issues and papers to the indexing agencies (as given on journal web site). It’s depend on indexing agencies when, how and what manner they can index or not. Hence, we like to inform that on the basis of earlier indexing, we can’t predict the today or future indexing policy of third party (i.e. indexing agencies) as they have right to discontinue any journal at any time without prior information to the journal. So, please neither sends any question nor expects any answer from us on the behalf of third party i.e. indexing agencies.Hence, we will not issue any certificate or letter for indexing issue. Our role is just to provide the online access to them. So we do properly this and one can visit indexing agencies website to get the authentic information.