Global Stability Analysis of Avian Influenza Model
Journal Title: JOURNAL OF BIOLOGICAL ENGINEERING RESEARCH AND REVIEW - Year 2018, Vol 5, Issue 2
Abstract
A mathematical model of Avian Influenza for both human and bird population is formulated. The basic reproduction number R_0^h and R_0^b for both human and bird population respectively is calculated and we prove that the dynamical system is both locally and globally asymptotically stable for disease-free equilibrium point when R_0^h<1 and R_0^b<1. We also prove that the unique endemic equilibrium point is globally asymptotically stable in bird population when R_0^b>1. Extensive numerical simulations and sensitivity analysis for various parameters of the model are carried out. The effect of Vaccination and Quarantined on Recovered class is critically analyzed.
Authors and Affiliations
Buddhadeo Mahato, Bimal Kumar Mishra, Binay Kumar Mishra
Keywords
Related Articles
- EP ID EP554271
- DOI -
- Views 91
- Downloads 0
Computational analysis of interaction between seaweed-derived bioactive compounds and human aldose reductase as antidiabetic target
Diabetes still remains a rampaging metabolic disorder without a cure and current attentions are focused on the management of its associated complications particularly in type 2 diabetes. The enzyme aldose reductase is on...
Identification of sibling species in field collected Anopheles minimus using ovarian nurse cell chromosome in two malaria endemic areas in Myanmar
Malaria remains a major health problem in Myanmar. Anopheles dirus and Anopheles minimus are the principal vectors of malaria, but Anopheles maculatus, Anopheles vagus, Anopheles annularis, Anopheles philippnensis, Anoph...
Bio-efficacy of Long Lasting Insecticidal Mosquito Nets (LLINs) on Malaria Vector Anopheles Mosquitoes in Malaria-Endemic Areas of Myanmar
Sixty used Long Lasting Insecticidal Nets (LLINs) from six malaria endemic areas of States and Regions of Myanmar were assessed for their bio-efficacy against Anopheles mosquitoes. Total ten nets were collected from the...
Identification of Withanolide-M and Stigmasterol as Potent neuroprotectant and Dual inhibitor of Inducible/Neuronal Nitric Oxide Synthase by Structure-Based Virtual Screening
Nitric oxide (NO) is an important intracellular signaling molecule, generated by catalysis from nitric oxide synthases (NOSs). In the face of NO playing beneficial roles, its overproduction by the neuronal nitric oxide s...
Larvicidal, Ovicidal and repellent effect of Citrus hystrix DC (Kaffir lime) fruit, peel and internal materials extracts on Aedes aegypti mosquitoes
The present study aimed to evaluate the larvicidal, ovicidal and repellent activity of ethanol extracts of dry fruit, peels and internal fruit materials of Citrus hystrix DC against Aedes aegypti. Aedes aegypti larvae we...