Modelling of transmission dynamics of Nipah virus (Niv): A fractional order Approach

Praveen Agarwal and Ram Singh

Physica A: Statistical Mechanics and its Applications, 2020, vol. 547, issue C

Abstract: This work contains a mathematical model able to portray the transmission of Nipah virus within a targeted population. We argued that, the model with classical differential provide a description based on the Markovian process where the evolution equation is memory-less which of course is not in line with the real world situation. In order to include introduce into mathematical model the effect of waiting distribution able to capture the exponential and power which are natural law follow by several physical problem, we replaced the local time differential operator with a differential operator with the Mittag-Leffler function. We presented in detail the study disease free equilibrium and reproduction number. Some interesting theorems were suggested and proven. The model was solved numerical via a newly established numerical method.

Keywords: Nipah virus; Waiting time distribution; Non-singular kernel; New numerical scheme (search for similar items in EconPapers)
Date: 2020
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (9)

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0378437120300625
Full text for ScienceDirect subscribers only. Journal offers the option of making the article available online on Science direct for a fee of $3,000

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:547:y:2020:i:c:s0378437120300625

DOI: 10.1016/j.physa.2020.124243

Access Statistics for this article

Physica A: Statistical Mechanics and its Applications is currently edited by K. A. Dawson, J. O. Indekeu, H.E. Stanley and C. Tsallis

More articles in Physica A: Statistical Mechanics and its Applications from Elsevier
Bibliographic data for series maintained by Catherine Liu ().