Global dynamics of a HIV transmission model.
Kovács, Sándor (2010)
Acta Universitatis Sapientiae. Mathematica
Similarity:
Kovács, Sándor (2010)
Acta Universitatis Sapientiae. Mathematica
Similarity:
F. Gazori, M. Hesaaraki (2015)
Applicationes Mathematicae
Similarity:
In this paper, we consider a within-host model of malaria with Holling type II functional response. The model describes the dynamics of the blood-stage of parasites and their interaction with host cells, in particular red blood cells and immune effectors. First, we obtain equilibrium points of the system. The global stability of the disease-free equilibrium point is established when the basic reproduction ratio of infection is R₀< 1. Then the disease is controllable and dies out....
Huo, Hai-Feng, Dang, Shuai-Jun, Li, Yu-Ning (2010)
Abstract and Applied Analysis
Similarity:
Chiyaka, C., Garira, W., Dube, S. (2008)
Computational & Mathematical Methods in Medicine
Similarity:
Mushayabasa, S., Bhunu, C.P. (2011)
Computational & Mathematical Methods in Medicine
Similarity:
Tumwiine, J., Mugisha, J.Y.T., Luboobi, L.S. (2007)
Computational & Mathematical Methods in Medicine
Similarity:
Tian, Xiaohong, Xu, Rui (2010)
Discrete Dynamics in Nature and Society
Similarity:
T. Dhirasakdanon, H. R. Thieme (2010)
Mathematical Modelling of Natural Phenomena
Similarity:
For an SI type endemic model with one host and two parasite strains, we study the stability of the endemic coexistence equilibrium, where the host and both parasite strains are present. Our model, which is a system of three ordinary differential equations, assumes complete cross-protection between the parasite strains and reduced fertility and increased mortality of infected hosts. It also assumes that one parasite strain is exclusively...
Petar Zhivkov, Jacek Waniewski (2003)
International Journal of Applied Mathematics and Computer Science
Similarity:
Tumour immunotherapy is aimed at the stimulation of the otherwise inactive immune system to remove, or at least to restrict, the growth of the original tumour and its metastases. The tumour-immune system interactions involve the stimulation of the immune response by tumour antigens, but also the tumour induced death of lymphocytes. A system of two non-linear ordinary differential equations was used to describe the dynamic process of interaction between the immune system and the tumour....
Yang, Junyuan, Wang, Xiaoyan, Zhang, Fengqin (2008)
Discrete Dynamics in Nature and Society
Similarity:
Tian, Xiaohong, Xu, Rui (2009)
Discrete Dynamics in Nature and Society
Similarity:
Chiyaka, Edward T., Magombedze, Gesham, Mutimbu, Lawrence (2010)
Computational & Mathematical Methods in Medicine
Similarity: