scholarly journals Dynamics of a New Strain of the H1N1 Influenza A Virus Incorporating the Effects of Repetitive Contacts

2014 ◽  
Vol 2014 ◽  
pp. 1-9 ◽  
Author(s):  
Puntani Pongsumpun ◽  
I-Ming Tang

The respiratory disease caused by the Influenza A Virus is occurring worldwide. The transmission for new strain of the H1N1 Influenza A virus is studied by formulating a SEIQR (susceptible, exposed, infected, quarantine, and recovered) model to describe its spread. In the present model, we have assumed that a fraction of the infected population will die from the disease. This changes the mathematical equations governing the transmission. The effect of repetitive contact is also included in the model. Analysis of the model by using standard dynamical modeling method is given. Conditions for the stability of equilibrium state are given. Numerical solutions are presented for different values of parameters. It is found that increasing the amount of repetitive contacts leads to a decrease in the peak numbers of exposed and infectious humans. A stability analysis shows that the solutions are robust.

Author(s):  
Atanyi Yusuf Emmanuel ◽  
Abam Ayeni Omini

A mathematical model to eliminate malaria by breaking the life cycle of anopheles mosquito using copepods at larva stage and tadpoles at pupa stage was derived aimed at eradicating anopheles pupa mosquito by introduction of natural enemies “copepods and tadpoles” (an organism that eats up mosquito at larva and pupa stage respectively). The model equations were derived using the model parameters and variables. The stability analysis of the free equilibrium states was analyzed using equilibrium points of Beltrami and Diekmann’s conditions for stability analysis of steady state. We observed that the model free equilibrium state is stable which implies that the equilibrium point or steady state is stable and the stability of the model means, there will not be anopheles adult mosquito in our society for malaria transmission. The ideas of Beltrami’s and Diekmann conditions revealed that the determinant and trace of the Jacobian matrix were greater than zero and less than zero respectively implying that the model disease free equilibrium state is stable. Hence, the number of larva that transforms to pupa is almost zero while the pupa that develop to adult is zero meaning the life-cycle is broken at the larva and pupa stages with the introduction of natural enemy. Maple was used for the symbolic and numerical solutions.


2012 ◽  
Vol 206 (4) ◽  
pp. 495-503 ◽  
Author(s):  
Jie Zhou ◽  
Kelvin Kai-Wang To ◽  
Hui Dong ◽  
Zhong-Shan Cheng ◽  
Candy Choi-Yi Lau ◽  
...  

2010 ◽  
Vol 56 (4) ◽  
pp. 394-394 ◽  
Author(s):  
Daniela Calderaro ◽  
Sigrid de Souza dos Santos ◽  
Adriana Coracini Tonacio ◽  
Danielle Menosi Gualandro ◽  
Paulo Cury Rezende ◽  
...  

PLoS Currents ◽  
2010 ◽  
Vol 2 ◽  
pp. RRN1162 ◽  
Author(s):  
Sebastian Maurer-Stroh ◽  
Raphael Tze Chuen Lee ◽  
Frank Eisenhaber ◽  
Lin Cui ◽  
Shiau Pheng Phuah ◽  
...  

2019 ◽  
Vol 39 (12) ◽  
Author(s):  
Fangyi Zhang ◽  
Xuefeng Lin ◽  
Xiaodong Yang ◽  
Guangjian Lu ◽  
Qunmei Zhang ◽  
...  

Abstract Increasing evidence has indicated that microRNAs (miRNAs) have essential roles in innate immune responses to various viral infections; however, the role of miRNAs in H1N1 influenza A virus (IAV) infection is still unclear. The present study aimed to elucidate the role and mechanism of miRNAs in IAV replication in vitro. Using a microarray assay, we analyzed the expression profiles of miRNAs in peripheral blood from IAV patients. It was found that miR-132-3p was significantly up-regulated in peripheral blood samples from IAV patients. It was also observed that IAV infection up-regulated the expression of miR-132-3p in a dose- and time-dependent manner. Subsequently, we investigated miR-132-3p function and found that up-regulation of miR-132-3p promoted IAV replication, whereas knockdown of miR-132-3p repressed replication. Meanwhile, overexpression of miR-132-3p could inhibit IAV triggered INF-α and INF-β production and IFN-stimulated gene (ISG) expression, including myxovirus protein A (MxA), 2′,5′-oligoadenylate synthetases (OAS), and double-stranded RNA-dependent protein kinase (PKR), while inhibition of miR-132-3p enhanced IAV triggered these effects. Of note, interferon regulatory factor 1 (IRF1), a well-known regulator of the type I IFN response, was identified as a direct target of miR-132-3p during HIN1 IAV infection. Furthermore, knockdown of IRF1 by si-IRF1 reversed the promoting effects of miR-132-3p inhibition on type I IFN response. Taken together, up-regulation of miR-132-3p promotes IAV replication by suppressing type I IFN response through its target gene IRF1, suggesting that miR-132-3p could represent a novel potential therapeutic target of IAV treatment.


Author(s):  
Haruka Nakada ◽  
Masaharu Tsubokura ◽  
Tomoko Matsumura ◽  
Yuko Kodama ◽  
Masahiro Kami ◽  
...  

2011 ◽  
Vol 44 (4) ◽  
pp. 316-318 ◽  
Author(s):  
Che-Kim Tan ◽  
Chiang-Lian Kao ◽  
Jin-Yuan Shih ◽  
Li-Na Lee ◽  
Chien-Ching Hung ◽  
...  

2020 ◽  
Vol 15 (1) ◽  
pp. 142-153
Author(s):  
Beatriz Vidaña ◽  
Sharon M. Brookes ◽  
Helen E. Everett ◽  
Fanny Garcon ◽  
Alejandro Nuñez ◽  
...  

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