In:
Journal of Biological Systems, World Scientific Pub Co Pte Ltd, Vol. 15, No. 02 ( 2007-06), p. 139-147
Abstract:
This paper investigates the dynamics of transmission of a model of American cutaneous leishmaniasis (ACL). The model consists of infectious incidental hosts (humans), reservoir hosts (forest rodents, dogs, etc.) and vectors. A delay in the time between infection and infectiousness for the reservoir hosts is incorporated. In the absence of delay, it is observed that if R 0 〉 1, then endemic equilibrium becomes stable and if R 0 〈 1 then infection-free equilibrium becomes stable. The length of delay is estimated for preserving stability. Stability switching behavior of the system is also indicated. Lastly the results are verified through numerical simulations as far as possible.
Type of Medium:
Online Resource
ISSN:
0218-3390
,
1793-6470
DOI:
10.1142/S0218339007002155
Language:
English
Publisher:
World Scientific Pub Co Pte Ltd
Publication Date:
2007
detail.hit.zdb_id:
2026740-X
SSG:
12
