Staff View: A fractional perspective on the transmission dynamics of a parasitic infection, considering the impact of both strong and weak immunity

A fractional perspective on the transmission dynamics of a parasitic infection, considering the impact of both strong and weak immunity

Infectious disease cryptosporidiosis is caused by the cryptosporidium parasite, a type of parasitic organism. It is spread through the ingestion of contaminated water, food, or fecal matter from infected animals or humans. The control becomes difficult because the parasite may remain in the environm...

Full description

Saved in:

Bibliographic Details
Main Authors:	Tang T.-Q., Jan R., Shah Z., Vrinceanu N., Tanasescu C., Jan A.
Other Authors:	57191995128
Format:	Article
Published:	Public Library of Science 2025
Subjects:	Animals Cryptosporidiosis Cryptosporidium Humans Article basic reproduction number blood brain barrier cryptosporidiosis disease transmission dynamics epidemiological model human immunity incidence ingestion mathematical model nonhuman parasitosis qualitative analysis steady state animal immunology
Tags:	Add Tag No Tags, Be the first to tag this record!

id	my.uniten.dspace-36647
record_format	dspace
spelling	my.uniten.dspace-366472025-03-03T15:43:38Z A fractional perspective on the transmission dynamics of a parasitic infection, considering the impact of both strong and weak immunity Tang T.-Q. Jan R. Shah Z. Vrinceanu N. Tanasescu C. Jan A. 57191995128 57205596279 57194441902 26434973300 55917656400 57210164406 Animals Cryptosporidiosis Cryptosporidium Humans Article basic reproduction number blood brain barrier cryptosporidiosis Cryptosporidium disease transmission dynamics epidemiological model human immunity incidence ingestion mathematical model nonhuman parasitosis qualitative analysis steady state animal cryptosporidiosis immunology Infectious disease cryptosporidiosis is caused by the cryptosporidium parasite, a type of parasitic organism. It is spread through the ingestion of contaminated water, food, or fecal matter from infected animals or humans. The control becomes difficult because the parasite may remain in the environment for a long period. In this work, we constructed an epidemic model for the infection of cryptosporidiosis in a fractional framework with strong and weak immunity concepts. In our analysis, we utilize the well-known next-generation matrix technique to evaluate the reproduction number of the recommended model, indicated by R0. As R0 < 1, our results show that the disease-free steady-state is locally asymptotically stable; in other cases, it becomes unstable. Our emphasis is on the dynamical behavior and the qualitative analysis of cryptosporidiosis. Moreover, the fixed point theorem of Schaefer and Banach has been utilized to investigate the existence and uniqueness of the solution. We identify suitable conditions for the Ulam-Hyers stability of the proposed model of the parasitic infection. The impact of the determinants on the sickness caused by cryptosporidiosis is highlighted by the examination of the solution pathways using a novel numerical technique. Numerical investigation is conducted on the solution pathways of the system while varying various input factors. Policymakers and health officials are informed of the crucial factors pertaining to the infection system to aid in its control. Copyright: ? 2024 Tang et al. Final 2025-03-03T07:43:37Z 2025-03-03T07:43:37Z 2024 Article 10.1371/journal.pone.0297967 2-s2.0-85191299778 https://www.scopus.com/inward/record.uri?eid=2-s2.0-85191299778&doi=10.1371%2fjournal.pone.0297967&partnerID=40&md5=99d832d4cb65463bb24a813de52c9b56 https://irepository.uniten.edu.my/handle/123456789/36647 19 4-Apr e0297967 Public Library of Science Scopus
institution	Universiti Tenaga Nasional
building	UNITEN Library
collection	Institutional Repository
continent	Asia
country	Malaysia
content_provider	Universiti Tenaga Nasional
content_source	UNITEN Institutional Repository
url_provider	http://dspace.uniten.edu.my/
topic	Animals Cryptosporidiosis Cryptosporidium Humans Article basic reproduction number blood brain barrier cryptosporidiosis Cryptosporidium disease transmission dynamics epidemiological model human immunity incidence ingestion mathematical model nonhuman parasitosis qualitative analysis steady state animal cryptosporidiosis immunology
spellingShingle	Animals Cryptosporidiosis Cryptosporidium Humans Article basic reproduction number blood brain barrier cryptosporidiosis Cryptosporidium disease transmission dynamics epidemiological model human immunity incidence ingestion mathematical model nonhuman parasitosis qualitative analysis steady state animal cryptosporidiosis immunology Tang T.-Q. Jan R. Shah Z. Vrinceanu N. Tanasescu C. Jan A. A fractional perspective on the transmission dynamics of a parasitic infection, considering the impact of both strong and weak immunity
description	Infectious disease cryptosporidiosis is caused by the cryptosporidium parasite, a type of parasitic organism. It is spread through the ingestion of contaminated water, food, or fecal matter from infected animals or humans. The control becomes difficult because the parasite may remain in the environment for a long period. In this work, we constructed an epidemic model for the infection of cryptosporidiosis in a fractional framework with strong and weak immunity concepts. In our analysis, we utilize the well-known next-generation matrix technique to evaluate the reproduction number of the recommended model, indicated by R0. As R0 < 1, our results show that the disease-free steady-state is locally asymptotically stable; in other cases, it becomes unstable. Our emphasis is on the dynamical behavior and the qualitative analysis of cryptosporidiosis. Moreover, the fixed point theorem of Schaefer and Banach has been utilized to investigate the existence and uniqueness of the solution. We identify suitable conditions for the Ulam-Hyers stability of the proposed model of the parasitic infection. The impact of the determinants on the sickness caused by cryptosporidiosis is highlighted by the examination of the solution pathways using a novel numerical technique. Numerical investigation is conducted on the solution pathways of the system while varying various input factors. Policymakers and health officials are informed of the crucial factors pertaining to the infection system to aid in its control. Copyright: ? 2024 Tang et al.
author2	57191995128
author_facet	57191995128 Tang T.-Q. Jan R. Shah Z. Vrinceanu N. Tanasescu C. Jan A.
format	Article
author	Tang T.-Q. Jan R. Shah Z. Vrinceanu N. Tanasescu C. Jan A.
author_sort	Tang T.-Q.
title	A fractional perspective on the transmission dynamics of a parasitic infection, considering the impact of both strong and weak immunity
title_short	A fractional perspective on the transmission dynamics of a parasitic infection, considering the impact of both strong and weak immunity
title_full	A fractional perspective on the transmission dynamics of a parasitic infection, considering the impact of both strong and weak immunity
title_fullStr	A fractional perspective on the transmission dynamics of a parasitic infection, considering the impact of both strong and weak immunity
title_full_unstemmed	A fractional perspective on the transmission dynamics of a parasitic infection, considering the impact of both strong and weak immunity
title_sort	fractional perspective on the transmission dynamics of a parasitic infection, considering the impact of both strong and weak immunity
publisher	Public Library of Science
publishDate	2025
_version_	1825816029403545600
score	13.244413

A fractional perspective on the transmission dynamics of a parasitic infection, considering the impact of both strong and weak immunity

Similar Items