caa a22 4500 445329939 CHVBK 20180317142734.0 cr unu---uuuuu 170323e20110901xx s 000 0 eng 10.1007/s00285-010-0381-5 doi (NATIONALLICENCE)springer-10.1007/s00285-010-0381-5 Periodicity and synchronization in blood-stage malaria infection [Elektronische Daten] [Ying Su, Shigui Ruan, Junjie Wei] Malaria fever is highly periodic and is associated with the parasite replication cycles in red blood cells. The existence of periodicity in malaria infection demonstrates that parasite replication in different red blood cells is synchronized. In this article, rigorous mathematical analysis of an age-structured human malaria model of infected red blood cells (Rouzine and McKenzie, Proc Natl Acad Sci USA 100:3473-3478, 2003) is provided and the synchronization of Plasmodium falciparum erythrocytic stages is investigated. By using the replication rate as the bifurcation parameter, the existence of Hopf bifurcation in the age-structured malaria infection model is obtained. Numerical simulations indicate that synchronization with regular periodic oscillations (of period 48 h) occurs when the replication rate increases. Therefore, Kwiatkowski and Nowak's observation (Proc Natl Acad Sci USA 88:5111-5113, 1991) that synchronization could be generated at modest replication rates is confirmed. Springer-Verlag, 2010 Malaria nationallicence Age-structured model nationallicence Stability nationallicence Hopf bifurcation nationallicence Periodic solution nationallicence Synchronization nationallicence Su Ying Department of Mathematics, Harbin Institute of Technology, 150001, Harbin, Heilongjiang, People's Republic of China aut Ruan Shigui Department of Mathematics, University of Miami, 33124-4250, Coral Gables, FL, USA aut Wei Junjie Department of Mathematics, Harbin Institute of Technology, 150001, Harbin, Heilongjiang, People's Republic of China aut Journal of Mathematical Biology Springer-Verlag 63/3(2011-09-01), 557-574 0303-6812 63:3<557 2011 63 285 https://doi.org/10.1007/s00285-010-0381-5 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s00285-010-0381-5 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Su Ying Department of Mathematics, Harbin Institute of Technology, 150001, Harbin, Heilongjiang, People's Republic of China aut NATIONALLICENCE 700 1- Ruan Shigui Department of Mathematics, University of Miami, 33124-4250, Coral Gables, FL, USA aut NATIONALLICENCE 700 1- Wei Junjie Department of Mathematics, Harbin Institute of Technology, 150001, Harbin, Heilongjiang, People's Republic of China aut NATIONALLICENCE 773 0- Journal of Mathematical Biology Springer-Verlag 63/3(2011-09-01), 557-574 0303-6812 63:3<557 2011 63 285 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer