• English
    • Basque
    • español
  • English 
    • English
    • Basque
    • español
  • Login
Search 
  •   BIRD Home
  • Mathematical Modelling with Multidisciplinary Applications (M3A)
  • Search
  •   BIRD Home
  • Mathematical Modelling with Multidisciplinary Applications (M3A)
  • Search
JavaScript is disabled for your browser. Some features of this site may not work without it.

Search

Show Advanced FiltersHide Advanced Filters

Filters

Use filters to refine the search results.

Now showing items 1-6 of 6

  • Sort Options:
  • Relevance
  • Title Asc
  • Title Desc
  • Issue Date Asc
  • Issue Date Desc
  • Results Per Page:
  • 5
  • 10
  • 20
  • 40
  • 60
  • 80
  • 100
Thumbnail

Global dynamics of a delayed SIRS epidemic model with a wide class of nonlinear incidence rates 

Enatsu Y.; Messina E.; Nakata Y.; Muroya Y.; Russo E.; Vecchio A. (Journal of Applied Mathematics and Computing, 2012-12-31)
In this paper, by constructing Lyapunov functionals, we consider the global dynamics of an SIRS epidemic model with a wide class of nonlinear incidence rates and distributed delays ∫ h 0 p(τ)f(S(t),I(t- τ))dτ under the ...
Thumbnail

Lyapunov functional techniques for the global stability analysis of a delayed SIRS epidemic model 

Enatsu Y.; Nakata Y.; Muroya Y. (Nonlinear Analysis: Real World Applications, 2012-12-31)
In this paper, we study the global dynamics of a delayed SIRS epidemic model for transmission of disease with a class of nonlinear incidence rates of the form βS(t)∫ 0 hf(τ)G(I(t-τ))dτ. Applying Lyapunov functional techniques ...
Thumbnail

Global stability of sirs epidemic models with a class of nonlinear incidence rates and distributed delays 

Enatsu Y.; Nakata Y.; Muroya Y. (Acta Mathematica Scientia, 2012-12-31)
In this article, we establish the global asymptotic stability of a disease-free equilibrium and an endemic equilibrium of an SIRS epidemic model with a class of nonlinear incidence rates and distributed delays. By using ...
Thumbnail

Monotone iterative techniques to SIRS epidemic models with nonlinear incidence rates and distributed delays 

Muroya Y.; Enatsu Y.; Nakata Y. (Nonlinear Analysis: Real World Applications, 2011-12-31)
In this paper, for SIRS epidemic models with a class of nonlinear incidence rates and distributed delays of the forms βS(t)∫0hk(τ)G(I(t-τ) )dτ, we establish the global asymptotic stability of the disease-free equilibrium ...
Thumbnail

On the global stability of an SIRS epidemic model with distributed delays 

Nakata Y.; Enatsu Y.; Muroya Y. (Discrete and Continuous Dynamical Systems- Series A, 2011-12-31)
In this paper, we establish the global asymptotic stability of an endemic equilibrium for an SIRS epidemic model with distributed time delays. It is shown that the global stability holds for any rate of immunity loss, if ...
Thumbnail

Global stability of a delayed SIRS epidemic model with a non-monotonic incidence rate 

Muroya Y.; Enatsu Y.; Nakata Y. (Journal of Mathematical Analysis and Applications, 2011-12-31)
In this paper, we investigate a disease transmission model of SIRS type with latent period τ≥0 and the specific nonmonotone incidence rate, namely, For the basic reproduction number R0>1, applying monotone iterative ...

DSpace software copyright © 2002-2015  DuraSpace
Contact Us | Send Feedback
 

 

Browse

All of BIRDCommunities & CollectionsBy Issue DateAuthorsTitlesSubjectsThis CommunityBy Issue DateAuthorsTitlesSubjects

My Account

Login

Discover

AuthorEnatsu Y. (6)Muroya Y. (6)Nakata Y. (6)Messina E. (1)Russo E. (1)Vecchio A. (1)Subject
Global asymptotic stability (6)
SIRS epidemic model (6)
Distributed delays (4)Lyapunov functional (4)Nonlinear incidence rate (4)Lyapunov functional technique (1)Monotone iterative technique (1)Nonlinear incidence (1)Permanence (1)... View MoreDate Issued2012 (3)2011 (3)

DSpace software copyright © 2002-2015  DuraSpace
Contact Us | Send Feedback