| Title |
Homoclinic and heteroclinic solutions to a hepatitis C evolution model / |
| Authors |
Telksnys, Tadas ; Navickas, Zenonas ; Marcinkevicius, Romas ; Cao, Maosen ; Ragulskis, Minvydas |
| DOI |
10.1515/math-2018-0130 |
| Full Text |
|
| Is Part of |
Open mathematics.. Warsaw : De Gruyter Open Access. 2018, vol. 16, p. 1537-1555.. ISSN 2391-5455 |
| Keywords [eng] |
generalized differential operator ; hepatitis C model ; homoclinic/heteroclinic solution ; inverse balancing |
| Abstract [eng] |
Homoclinic and heteroclinic solutions to a standard hepatitis C virus (HCV) evolution model described by T. C. Reluga, H. Dahari and A. S. Perelson, (SIAM J. Appl. Math., 69 (2009), pp. 999-1023) are considered in this paper. Inverse balancing and generalized differential techniques enable derivation of necessary and sufficient existence conditions for homoclinic/heteroclinic solutions in the considered system. It is shown that homoclinic/heteroclinic solutions do appear when the considered system describes biologically significant evolution. Furthermore, it is demonstrated that the hepatitis C virus evolution model is structurally stable in the topological sense and does maintain homoclinic/heteroclinic solutions as diffusive coupling coefficients tend to zero. Computational experiments are used to illustrate the dynamics of such solutions in the hepatitis C evolution model. |
| Published |
Warsaw : De Gruyter Open Access |
| Type |
Journal article |
| Language |
English |
| Publication date |
2018 |
| CC license |
|
