Modeling the Parasitic Filariasis Spread by Mosquito in Periodic Environment

Cheng, Yan; Wang, Xiaoyun; Pan, Qiuhui; He, Mingfeng

doi:10.1155/2017/4567452

Cited by 3 publications

(4 citation statements)

References 32 publications

(30 reference statements)

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“…Reducing the vector population is one of the key methods employed to control the transmission of vector-borne diseases [ 7 , 8 , 11 – 13 , 20 ]. Our simulations suggest that vector-control programmes should take into consideration the spatial distribution of vectors and not only the disease prevalence and/or the vector population size.…”

Section: Discussionmentioning

confidence: 99%

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Clustered Breeding Sites: Shelters for Vector-Borne Diseases

Dias

Monteiro

2018

Computational and Mathematical Methods in Medicine

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Here, the propagation of vector-borne diseases is modeled by using a probabilistic cellular automaton. Numerical simulations considering distinct spatial distributions and time variations of the vector abundance are performed, in order to investigate their impacts on the number of infected individuals of the host population. The main conclusion is as follows: in the clustered distributions, the prevalence is lower, but the eradication is more difficult to be achieved, as compared to homogeneous distributions. This result can be relevant in the implementation of preventive surveillance measures.

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Section: Discussionmentioning

confidence: 99%

“…In many models, the vector population is divided into infected and noninfected subgroups [ 7 – 9 , 11 – 14 , 19 , 20 ]. In our model, this division is not made; only the vector abundance matters.…”

Section: The Ca Modelmentioning

confidence: 99%

Clustered Breeding Sites: Shelters for Vector-Borne Diseases

Dias

Monteiro

2018

Computational and Mathematical Methods in Medicine

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“…[5] formulated and analysed a nonlinear differential equation model to study the effect of chemoprophylaxis on the exposed individuals. [6] developed a mathematical model to investigate the impact that vector genus specific dependent processes may have on overall lymphatic filariasis transmission. [7] used lymphatic filariasis Simulation Model (LYMFASIM)to estimate the duration of Mass Drug Administration (MDA) required for elimination and residual levels of microfilaemia (Mf) and antigenaemia (Ag) prevalence reached after that duration in different transmission settings varying from low to high.…”

Section: Introductionmentioning

confidence: 99%

Global Stability and Backward Bifurcation for a Lymphatic filariasis model

Iyare

Okuonghae

Osagiede

2021

Preprint

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An ODE model of Lymphatic filariasis is proposed with eight mutually disjoint compartments. The model is proven to be mathematically and epidemiologically well posed. Epidemiological interpretation of the effective reproduction number is presented. A special case is considered where the death rate due to the disease is negligible. An endemic equilibrium under this special scenario is explicitly computed and the presence of backward bifurcation under this condition is suggested. Bifurcation analysis is performed using the Castillo-Chavez and Song theorem in the special case where death due to disease is zero. When the re-infection rate is zero, backward bifurcation is shown not to be present. In such a situation, global asymptotic stability of the endemic equilibrium is established.

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“…[18] formulated and analysed a nonlinear differential equation model to study the effect of chemoprophylaxis on the exposed individuals. [19] developed a mathematical model to investigate the impact that vector genus specific dependent processes may have on overall LF transmission. [20] used lymphatic filariasis Simulation Model (LYMFASIM)to estimate the duration of Mass Drug Administration (MDA) required for elimination and residual levels of microfilaemia (Mf) and antigenaemia (Ag) prevalence reached after that duration in different transmission settings, varying from low to high.…”

Section: Introductionmentioning

confidence: 99%

Mathematical Analysis of A Tuberculosis-Lymphatic filariasis Co-infection Model

Iyare¹,

Akhaze²,

Ako³

2021

Preprint

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An Ordinary Differential Equation(ODE) co-infection model of Tuberculosis-Lymphatic filariasis is proposed with 17 mutually disjoint compartments. We showed that the model is Mathematically and Epidemiologically well-posed and the disease-free equilibrium(DFE) of the co-infection model is locally asymptotically stable if R_O<1, it is unstable if R_O>1. The numerical results show that lymphatic \textit{filariasis} infection increases susceptibility to tuberculosis infection. This is in agreement with literature that, persons with lowered immunity such as HIV, diabetes, immune disorder etc are at a higher risk of contacting infectious diseases. We also found that increasing the rate of diagnosis and treatment of active tuberculosis and symptomatic lymphatic \textit{filariasis} cases, the incidence of co-infection in the community can be reduced, and that if resources are limited, efforts should be targeted at treating only the co-infected cases. Sensitivity analysis showed that increasing mosquito mortality rate, reducing the probability of mosquito infecting humans, reducing the probability of humans infecting mosquitoes, reducing mosquitoes recruitment rate by destroying mosquitoes breeding sites and reducing the number of times a mosquito bites human will bring down the reproduction number to less than unity.

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Modeling the Parasitic Filariasis Spread by Mosquito in Periodic Environment

Cited by 3 publications

References 32 publications

Clustered Breeding Sites: Shelters for Vector-Borne Diseases

Clustered Breeding Sites: Shelters for Vector-Borne Diseases

Global Stability and Backward Bifurcation for a Lymphatic filariasis model

Mathematical Analysis of A Tuberculosis-Lymphatic filariasis Co-infection Model

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