Bookcover of On The Dynamics of Some Eco-Epidemiological Models
Booktitle:

On The Dynamics of Some Eco-Epidemiological Models

Describe and Study the dynamical behavior of Natural Phenomena by Using Nonlinear Systems

LAP LAMBERT Academic Publishing (2013-12-04 )

Books loader

Omni badge eligible for voucher
ISBN-13:

978-3-659-44045-8

ISBN-10:
3659440450
EAN:
9783659440458
Book language:
English
Blurb/Shorttext:
The dynamical behavior of some eco-epidemiological models is investigated. Two types of prey-predator models involving infectious disease in predator population, which divided it into two compartments; namely susceptible population and infected population , are proposed and analyzed. The first proposed model deals with SIS infectious disease that transmitted directly from external sources, as well as, through direct contact between susceptible and infected individuals using linear type of incidence rate. While, the second proposed model deals with SIS infectious disease that transmitted through the direct contact between susceptible and infected individuals only using nonlinear type of incidence rate. Both the models are represented mathematically by the set of nonlinear differential equations. The existence, uniqueness and boundedness of the solution of these two models are investigated. The local and global stability conditions of all possible equilibrium points are established. The occurrence of local bifurcation and Hopf bifurcation near each of the equilibrium points are discussed. Finally, numerical simulation is used to study the global dynamics of the both models.
Publishing house:
LAP LAMBERT Academic Publishing
Website:
https://www.lap-publishing.com/
By (author) :
Rasha Majeed Yaseen, Raid Kamel Naji
Number of pages:
144
Published on:
2013-12-04
Stock:
Available
Category:
Mathematics
Price:
44.90 €
Keywords:
Stability Analysis, Prey-Predator Model, SIS Infectious Disease, Local and Hopf Bifurcation

Books loader

Newsletter

Adyen::amex Adyen::mc Adyen::visa Adyen::cup Adyen::unionpay Paypal Wire Transfer

  0 products in the shopping cart
Edit cart
Loading frontend
LOADING