Author/Authors :
Daşbaşı, Bahatdin Cumhuriyet Üniversitesi - Gemerek Meslek Yüksek Okulu - Bilgisayar Teknolojileri Bölümü, Turkey , Öztürk, İlhan Erciyes Üniversitesi - Fen Fakültesi - Matematik Bölümü, Turkey
Title Of Article :
The dynamics between pathogen and host with Holling type 2 response of immune system
Abstract :
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 found as 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 of analysis was supported by numerical simulations.
NaturalLanguageKeyword :
Ordinary differential equations systems , Equilibrium point , Immune system , Holling response
JournalTitle :
Erciyes University Journal Of The Institute Of Science and Technology
