TY  - JOUR
TT  - The dynamics between pathogen and host with Holling type 2 response of immune system
AU  - Daşbaşı, Bahatdin
AU  - Öztürk, İlhan
PY  - 2016
DA  - February
JF  - Erciyes Üniversitesi Fen Bilimleri Enstitüsü Fen Bilimleri Dergisi
PB  - Erciyes Üniversitesi
WT  - DergiPark
SN  - 1012-2354
SP  - 1
EP  - 11
VL  - 32
IS  - 1
KW  - Adi diferansiyel denklem sistemi
KW  - Denge noktaları
KW  - Bağışıklık sistemi
KW  - Holling yanıtı
N2  - In this study, a mathematical model has been proposed to examine the dynamics between the pathogen infected to host and the host's immune system response given due this pathogen.The model is a system composed of two differential equations which represents the cells of host's immune system and the pathogen's burden by considering basic mechanisms of these. Qualitative analysis found out the positive equilibrium points being possible in addition to the infection-free equilibrium point. The stability and bifurcation analysis of this equilibrium points was performed. Our mathematical model used Holling type-2 response is a useful tool that can be utilized in predicting the timing and expansion of infection and possible reinfection processes in an individual as depend on the parameters used. Also, the results os analysis was supported by numerical simulations.
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UR  - https://dergipark.org.tr/tr/pub/erciyesfen/issue//269491
L1  - https://dergipark.org.tr/tr/download/article-file/235973
ER  -