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References (52)
-
P. Mwamtobe, S. Simelane, S. Abelman, J. Tchuenche (2017)
Mathematical analysis of a lymphatic filariasis model with quarantine and treatmentBMC Public Health, 17
-
N. Hairston (1965)
An analysis of age-prevalence data by catalytic models. A contribution to the study of bilharziasis.Bulletin of the World Health Organization, 33 2
-
H. Ishikawa, H. Ohmae, R. Pangilinan, Apolinario Redulla, H. Matsuda (2006)
Modeling the dynamics and control of Schistosoma japonicum transmission on Bohol island, the Philippines.Parasitology international, 55 1
-
M. Inobaya, R. Olveda, Thao Chau, David Olveda, A. Ross (2014)
Prevention and control of schistosomiasis: a current perspectiveResearch and Reports in Tropical Medicine, 5
-
(2000)
through the sensitivity analysis of a mathematical model -
D. Gray, Yuesheng Li, Gail Williams, Zheng-yuan Zhao, D. Harn, Sheng-ming Li, M. Ren, Zeng Feng, Feng-ying Guo, Jia-gang Guo, Jie Zhou, Yu-Lan Dong, Yuan Li, A. Ross, D. McManus (2014)
A multi-component integrated approach for the elimination of schistosomiasis in the People's Republic of China: design and baseline results of a 4-year cluster-randomised intervention trial.International journal for parasitology, 44 9
-
G. Macdonald (1965)
The dynamics of helminth infections, with special reference to schistosomes.Transactions of the Royal Society of Tropical Medicine and Hygiene, 59 5
-
N. Kabatereine, F. Fleming, W. Thuo, B. Tinkitina, E. Tukahebwa, A. Fenwick (2014)
Community perceptions, attitude, practices and treatment seeking behaviour for schistosomiasis in L. Victoria islands in UgandaBMC Research Notes, 7
-
Rong Liu, Huifen Dong, Yi Guo, Q. Zhao, M. Jiang (2011)
Efficacy of praziquantel and artemisinin derivatives for the treatment and prevention of human schistosomiasis: a systematic review and meta-analysisParasites & Vectors, 4
-
Manuela Ciddio, L. Mari, S. Sokolow, G. Leo, R. Casagrandi, M. Gatto (2017)
The spatial spread of schistosomiasis: A multidimensional network model applied to Saint-Louis region, SenegalAdvances in Water Resources, 108
-
Z. Feng, C.-C. Li, F. Milner (2005)
Schistosomiasis models with two migrating human groupsMath. Comput. Model., 41
-
(1990)
Life span and cercaria shedding of schistosome-infected snails in mountainous region of Yunnan -
S. Liang, R. Spear, E. Seto, A. Hubbard, D. Qiu (2005)
A multi‐group model of Schistosoma japonicum transmission dynamics and control: model calibration and control predictionTropical Medicine & International Health, 10
-
Yirsaw Kerie, Z. Seyoum (2016)
Bovine and ovine schistosomiasis: prevalence and associated host factors in selected sites of South Achefer district, northwest EthiopiaThe Thai Journal of Veterinary Medicine
-
M. Woolhouse (1991)
On the application of mathematical models of schistosome transmission dynamics. I. Natural transmission.Acta tropica, 49 4
-
J. Remais (2010)
Modelling Environmentally-Mediated Infectious Diseases of Humans: Transmission Dynamics of Schistosomiasis in ChinaModelling Parasite Transmission and Control, 673
-
Zhilan Feng, A. Eppert, F. Milner, D. Minchella (2004)
Estimation of parameters governing the transmission dynamics of schistosomesAppl. Math. Lett., 17
-
Zi-min Chen, Lan Zou, Dingwen Shen, Weinian Zhang, S. Ruan (2010)
Mathematical modelling and control of schistosomiasis in Hubei Province, China.Acta tropica, 115 1-2
-
C. Castillo-Chavez, B. Song (2004)
Dynamical models of tuberculosis and their applications.Mathematical biosciences and engineering : MBE, 1 2
-
L. Chitsulo, D. Engels, A. Montresor, L. Savioli (2000)
The global status of schistosomiasis and its control.Acta tropica, 77 1
-
D. Civitello, Jason Rohr (2014)
Disentangling the effects of exposure and susceptibility on transmission of the zoonotic parasite Schistosoma mansoni.The Journal of animal ecology, 83 6
-
ER Al-Kennany, RN Al-Hamoo, ES Al-Alaaf (2009)
Pathological study on sheep infected with schistosoma bovisAl-Anbar J Vet Sci, 2
-
C. Modena, W. Lima, P. Coelho (2008)
Wild and domesticated animals as reservoirs of Schistosomiasis mansoni in Brazil.Acta tropica, 108 2-3
-
Yingke Li, Z. Teng, S. Ruan, Mingtao Li, Xiaomei Feng (2017)
A mathematical model for the seasonal transmission of schistosomiasis in the lake and marshland regions of China.Mathematical biosciences and engineering : MBE, 14 5-6
-
Tailei Zhang, Xiao-Qiang Zhao (2020)
Mathematical Modeling for Schistosomiasis with Seasonal Influence: A Case Study in Hubei, ChinaSIAM J. Appl. Dyn. Syst., 19
-
M. Tsega, Samuel Derso (2015)
Prevalence of Bovine Schistosomiasis and its Associated Risk Factor in and Around Debre Tabor Town, North West of Ethiopia -
Shujing Gao, Yujiang Liu, Youquan Luo, Dehui Xie (2011)
Control problems of a mathematical model for schistosomiasis transmission dynamicsNonlinear Dynamics, 63
-
P. Driessche, James Watmough (2002)
Reproduction numbers and sub-threshold endemic equilibria for compartmental models of disease transmission.Mathematical biosciences, 180
-
(1990)
On the definition and computation of the basic reproduction ratio R -
Jiangyun Xiang, Honggen Chen, H. Ishikawa (2013)
A mathematical model for the transmission of Schistosoma japonicum in consideration of seasonal water level fluctuations of Poyang Lake in Jiangxi, China.Parasitology international, 62 2
-
Chunxiao Ding, Nana Tao, Yun Sun, Yuanguo Zhu (2016)
The effect of time delays on transmission dynamics of schistosomiasisChaos Solitons & Fractals, 91
-
M. Ferreras-Estrada, M. García-Iglesias, C. Pérez-Martínez, M. Manga-González, V. Ramajo-Martín, A. Escudero-Diez, J. García-Marín (1998)
A pathological study of experimental long-standing Schistosoma bovis infection in sheep.Journal of comparative pathology, 119 4
-
Expeditho Mtisi, H. Rwezaura, J. Tchuenche (2009)
A mathematical analysis of malaria and tuberculosis co-dynamicsDiscrete and Continuous Dynamical Systems-series B, 12
-
C. Bruijning (1968)
Immunology of schistosomiasis.Acta Leidensia, 36
-
T. Mangal, S. Paterson, A. Fenton (2008)
Predicting the Impact of Long-Term Temperature Changes on the Epidemiology and Control of Schistosomiasis: A Mechanistic ModelPLoS ONE, 3
-
D. Engels, L. Chitsulo, A. Montresor, L. Savioli (2002)
The global epidemiological situation of schistosomiasis and new approaches to control and research.Acta tropica, 82 2
-
Zhilan Feng, Cheng-Che Li, F. Milner (2002)
Schistosomiasis models with density dependence and age of infection in snail dynamics.Mathematical biosciences, 177-178
-
(2008)
Determining important parameters in the spread of malaria -
Mouhamadou Diaby, A. Iggidr, Mamadou Sy, A. Sène (2014)
Global analysis of a schistosomiasis infection model with biological controlAppl. Math. Comput., 246
-
I. Hambali, N. Adamu, Musa Ahmed, Paul Bokko, A. Mbaya, A. Tijjani, A. Biu, F. Jesse, A. Ambali (2016)
Sero-prevalence of Schistosoma species in cattle in Maiduguri Metropolis and Jere Local Government Areas of Borno State, NigeriaJournal of Advanced Veterinary and Animal Research, 3
-
O Diekmann, JAP Heesterbeek, JAP Metz (1990)
On the definition and computation of the basic reproduction ratio R0\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$R_0$$\end{document} in the model of infectious disease in heterogeneous populationsJ Math Biol, 2
-
J Edward, M Andrews (2002)
The immunology of SchistosomiasisVet Parasitol, 2
-
C. Lengeler, J. Utzinger, M. Tanner (2002)
Screening for schistosomiasis with questionnaires.Trends in parasitology, 18 9
-
N Chitnis, JM Hyman, JM Cushing (2008)
Determining important parameters in the spread of malaria through the sensitivity analysis of a mathematical modelBull Math Biol, 70
-
E. Gomes, O. Leal-Neto, J. Albuquerque, Hernández Silva, C. Barbosa (2012)
Schistosomiasis transmission and environmental change: a spatio-temporal analysis in Porto de Galinhas, Pernambuco - BrazilInternational Journal of Health Geographics, 11
-
Anthony Michel, Derong Liu, Ling Hou (1988)
Stability of dynamical systemsNonlinearity, 1
-
Gail Williams, A. Sleigh, Yuesheng Li, Zheng Feng, G. Davis, Hongen Chen, A. Ross, R. Bergquist, D. McManus (2002)
Mathematical modelling of schistosomiasis japonica: comparison of control strategies in the People's Republic of China.Acta tropica, 82 2
-
ER Al-Kennany (2009)
82Al-Anbar J Vet Sci, 2
-
Z. Mukandavire, A. Gumel, W. Garira, J. Tchuenche (2009)
Mathematical analysis of a model for HIV-malaria co-infection.Mathematical biosciences and engineering : MBE, 6 2
-
F. McCULLOUGH, P. Gayral, J. Duncan, J. Christie (1980)
Molluscicides in schistosomiasis control.Bulletin of the World Health Organization, 58 5
-
B. Traoré, Ousmane Koutou, B. Sangaré (2019)
GLOBAL DYNAMICS OF A SEASONAL MATHEMATICAL MODEL OF SCHISTOSOMIASIS TRANSMISSION WITH GENERAL INCIDENCE FUNCTIONJournal of Biological Systems
-
J. Vercruysse, S. Gabriël (2005)
Immunity to schistosomiasis in animals: an updateParasite Immunology, 27
- Publisher
- Springer Journals
- Copyright
- Copyright © Springer Nature B.V. 2022
- ISSN
- 0001-5342
- eISSN
- 1572-8358
- DOI
- 10.1007/s10441-021-09434-y
- Publisher site
- See Article on Publisher Site
Abstract
Schistosomiasis, a vector-borne chronically debilitating infectious disease, is a serious public health concern for humans and animals in the affected tropical and sub-tropical regions. We formulate and theoretically analyze a deterministic mathematical model with snail and bovine hosts. The basic reproduction number R0\documentclass[12pt]{minimal}\usepackage{amsmath}\usepackage{wasysym}\usepackage{amsfonts}\usepackage{amssymb}\usepackage{amsbsy}\usepackage{mathrsfs}\usepackage{upgreek}\setlength{\oddsidemargin}{-69pt}\begin{document}$$R_0$$\end{document} is computed and used to investigate the local stability of the model’s steady states. Global stability of the endemic equilibrium is carried out by constructing a suitable Lyapunov function. Sensitivity analysis shows that the basic reproduction number is most sensitive to the model parameters related to the contaminated environment, namely: shedding rate of cercariae by snails, cercariae to miracidia survival probability, snails-miracidia effective contact rate and natural death rate of miracidia and cercariae. Numerical results show that when no intervention measures are implemented, there is an increase of the infected classes, and a rapid decline of the number of susceptible and exposed bovines and snails. Effects of the variation of some of the key sensitive model parameters on the schistosomiasis dynamics as well as on the initial disease transmission threshold parameter R0\documentclass[12pt]{minimal}\usepackage{amsmath}\usepackage{wasysym}\usepackage{amsfonts}\usepackage{amssymb}\usepackage{amsbsy}\usepackage{mathrsfs}\usepackage{upgreek}\setlength{\oddsidemargin}{-69pt}\begin{document}$$R_0$$\end{document} are graphically depicted.
Journal
Acta Biotheoretica – Springer Journals
Published: Mar 1, 2022
Keywords: Bovine Schistosomiasis; Contaminated environment; Reproduction number; Sensitivity analysis