In this task, you're given a paragraph from the research paper and your task is to generate a suitable title for the research paper based on the given paper. Under 100 words is a good title length.

Q: In this paper, a modified susceptible infected susceptible (SIS) epidemic model is proposed on community structure networks considering birth and death of node. For the existence of node's death would change the topology of global network, the characteristic of network with death rate is discussed. Then we study the epidemiology behavior based on the mean-field theory and derive the relationships between epidemic threshold and other parameters, such as modularity coefficient, birth rate and death rates (caused by disease or other reasons). In addition, the stability of endemic equilibrium is analyzed. Theoretical analysis and simulations show that the epidemic threshold increases with the increase of two kinds of death rates, while it decreases with the increase of the modularity coefficient and network size.

A: The Journal of China Universities of Posts and Telecommunications Modeling and analysis of epidemic spreading on community network with node's birth and death
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Q: In this paper, we analyze a delayed SEIR epidemic model in which the latent and infected states are infective. The model has a globally asymptotically stable disease-free equilibrium whenever a certain epidemiological threshold, known as the basic reproduction number R 0 , is less than or equal to unity. We investigate the effect of the time delay on the stability of endemic equilibrium when R 0 > 1. We give criteria that ensure that endemic equilibrium is asymptotically stable for all time delays and a Hopf bifurcation occurs as time delay exceeds the critical value. We give formulae for the direction of Hopf bifurcations and the stability of bifurcated periodic solutions by applying the normal form theory and the center manifold reduction for functional differential equations. Numerical simulations are presented to illustrate the analytical results.

A: Hopf bifurcation analysis of a delayed SEIR epidemic model with infectious force in latent and infected period
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Q: Infectious bronchitis virus (IBV) is a Gammacoronavirus that causes a highly contagious respiratory disease in chickens. A QX-like strain was analysed by high-throughput Illumina sequencing and genetic variation across the entire viral genome was explored at the sub-consensus level by single nucleotide polymorphism (SNP) analysis. Thirteen open reading frames (ORFs) in the order 5 0 -UTR-1a-1ab-S-3a-3b-E-M-4b-4c-5a-5b-N-6b-3 0 UTR were predicted. The relative frequencies of missense: silent SNPs were calculated to obtain a comparative measure of variability in specific genes. The most variable ORFs in descending order were E, 3b, 5 0 UTR, N, 1a, S, 1ab, M, 4c, 5a, 6b. The E and 3b protein products play key roles in coronavirus virulence, and RNA folding demonstrated that the mutations in the 5 0 UTR did not alter the predicted secondary structure. The frequency of SNPs in the Spike (S) protein ORF of 0.67% was below the genomic average of 0.76%. Only three SNPS were identified in the S1 subunit, none of which were located in hypervariable region (HVR) 1 or HVR2. The S2 subunit was considerably more variable containing 87% of the polymorphisms detected across the entire S protein. The S2 subunit also contained a previously unreported multi-A insertion site and a stretch of four consecutive mutated amino acids, which mapped to the stalk region of the spike protein. Template-based protein structure modelling produced the first theoretical model of the IBV spike monomer. Given the lack of diversity observed at the sub-consensus level, the tenet that the HVRs in the S1 subunit are very tolerant of amino acid changes produced by genetic drift is questioned.

A:
Genomic and single nucleotide polymorphism analysis of infectious bronchitis coronavirus
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