Research in Applied Mathematics | |
MathematicalAnalysis of Visceral Leishmaniasis Model | |
关键词: F.Boukhalfa; M.Helal; and A.Lakmeche; Visceral leishmaniasis model; Bifurcation; Global stability; Lyapunov functions; asymptoticproperties; | |
DOI : 10.11131/2017/101263 | |
学科分类:数学(综合) | |
来源: AgiAl Publishing House | |
【 摘 要 】
In this work,we consider a mathematical modelde scribing the dynamics of visceral leishmaniasis in a population of dogsð·.First, we consider the case of constanttotalpopulation ð·, this is the case where birth and death rates are equal, in this case transcritical bifurcation occurs when the basic reproduction numberâ0is equal to one, and global stability is shown by the mean of suitable Lyapunov functions. After that, we consider the case where the birth and death rates are diï¬erent, if the birth rate is great than death rate the total dog population increasesexponentially,whiletheinfectiousdogsð¼diesoutifthebasicreproductionnumberis lessthanone,ifitisgreatthanonethenð·goestoinï¬nity.Wealsoprovethatthetotalpopulation ð·willextinctforbirthratelessthandeathrate.Finallywegivenumericalsimulations.
【 授权许可】
CC BY
【 预 览 】
Files | Size | Format | View |
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RO201904029240367ZK.pdf | 268KB | download |