Implicit versus explicit vector management strategies in models for vector-borne disease epidemiology

Demers, Jeffery; Robertson, Suzanne L.; Bewick, Sharon; Fagan, William F.

doi:10.1007/s00285-022-01742-2

Cited by 4 publications

(4 citation statements)

References 38 publications

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“…Suppose that τ 1 is fixed in (0, τ 0 1 ) and τ 2 > 0. Let λ = ν + iω (ω > 0) be a root of Equation (10), and separate the real and imaginary parts…”

Section: Stability Of the Endemic Equilibrium And Bifurcatioan Analysismentioning

confidence: 99%

“…The stability at E * changes when Equation (10) has pure imaginary roots. Let ν = 0, Equations ( 20) and ( 21) become…”

Section: Stability Of the Endemic Equilibrium And Bifurcatioan Analysismentioning

confidence: 99%

“…Moreover, Simoy et al [6] developed an SIS-SI model with active/inactive vectors to compare with the dynamics of the Ross-Macdonald model. Other relevant studies have been continuing [7][8][9][10][11][12][13].…”

Section: Introductionmentioning

confidence: 99%

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Stability and Hopf Bifurcation Analysis of a Multi-Delay Vector-Borne Disease Model with Presence Awareness and Media Effect

Hu,

Nie

2023

Fractal Fract

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Vector-borne diseases, being one of the most difficult infectious diseases to understand, model, and control, account for a large proportion of human infectious diseases. In the current transmission process of infectious diseases, the latent period of pathogens in vivo, the influence of media coverage, and the presence of awareness on the spread and control of diseases are important factors that cannot be ignored. Based on this, a novel vector-borne disease model with latent delay and media coverage delay is proposed to discuss the impact of these factors. First, the global existence and ultimate boundedness of solutions for this model are obtained. Further, the exact expressions for the basic reproduction number are given, from which the existence and local stability of the disease-free and endemic equilibria are analyzed. Moreover, using the delay as a bifurcation parameter, we also discuss the existence, direction, and stability of the Hopf bifurcation. Finally, some numerical examples are carried out to explain the main theoretical results and discuss the impacts of the main parameters of this model on the transmission of vector-borne disease.

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“…Suppose that τ 1 is fixed in (0, τ 0 1 ) and τ 2 > 0. Let λ = ν + iω (ω > 0) be a root of Equation (10), and separate the real and imaginary parts…”

Section: Stability Of the Endemic Equilibrium And Bifurcatioan Analysismentioning

confidence: 99%

“…The stability at E * changes when Equation (10) has pure imaginary roots. Let ν = 0, Equations ( 20) and ( 21) become…”

Section: Stability Of the Endemic Equilibrium And Bifurcatioan Analysismentioning

confidence: 99%

See 1 more Smart Citation

Stability and Hopf Bifurcation Analysis of a Multi-Delay Vector-Borne Disease Model with Presence Awareness and Media Effect

Hu,

Nie

2023

Fractal Fract

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“…In addition, mathematical models enable a systematic analysis of system fluctuations triggered by the delivery of drugs [31]. However, it is difficult to represent real-world systems such as biological systems in terms of mathematical relationships [32]. Figure 1 shows the process of the use of a mathematical model in the drug design process.…”

Section: Mathematical Models In Drug Designmentioning

confidence: 99%

Application of Mathematical Modeling and Computational Tools in the Modern Drug Design and Development Process

Hasan

Alsaiari

Fakhurji³

et al. 2022

Molecules

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The conventional drug discovery approach is an expensive and time-consuming process, but its limitations have been overcome with the help of mathematical modeling and computational drug design approaches. Previously, finding a small molecular candidate as a drug against a disease was very costly and required a long time to screen a compound against a specific target. The development of novel targets and small molecular candidates against different diseases including emerging and reemerging diseases remains a major concern and necessitates the development of novel therapeutic targets as well as drug candidates as early as possible. In this regard, computational and mathematical modeling approaches for drug development are advantageous due to their fastest predictive ability and cost-effectiveness features. Computer-aided drug design (CADD) techniques utilize different computer programs as well as mathematics formulas to comprehend the interaction of a target and drugs. Traditional methods to determine small-molecule candidates as a drug have several limitations, but CADD utilizes novel methods that require little time and accurately predict a compound against a specific disease with minimal cost. Therefore, this review aims to provide a brief insight into the mathematical modeling and computational approaches for identifying a novel target and small molecular candidates for curing a specific disease. The comprehensive review mainly focuses on biological target prediction, structure-based and ligand-based drug design methods, molecular docking, virtual screening, pharmacophore modeling, quantitative structure–activity relationship (QSAR) models, molecular dynamics simulation, and MM-GBSA/MM-PBSA approaches along with valuable database resources and tools for identifying novel targets and therapeutics against a disease. This review will help researchers in a way that may open the road for the development of effective drugs and preventative measures against a disease in the future as early as possible.

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Host-feeding preferences and temperature shape the dynamics of West Nile virus: A mathematical model to predict the impacts of vector-host interactions and vector management on R0

Bhowmick,

Fritz,

Smith

2024

Acta Tropica

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Implicit versus explicit vector management strategies in models for vector-borne disease epidemiology

Cited by 4 publications

References 38 publications

Stability and Hopf Bifurcation Analysis of a Multi-Delay Vector-Borne Disease Model with Presence Awareness and Media Effect

Stability and Hopf Bifurcation Analysis of a Multi-Delay Vector-Borne Disease Model with Presence Awareness and Media Effect

Application of Mathematical Modeling and Computational Tools in the Modern Drug Design and Development Process

Host-feeding preferences and temperature shape the dynamics of West Nile virus: A mathematical model to predict the impacts of vector-host interactions and vector management on R0

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