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<p>Understanding the parameters affecting disease transmission dynamics in leptospirosis is crucial for developing effective disease control and prevention strategies. The parameters influencing disease transmission dynamics, such as incubation period delay, handling time, and disease transmission rate, can significantly impact the spread of the disease. This study’s findings have important implications for public health policy and practice, highlighting the need for targeted interventions to reduce the transmission rate of infected animals and prevent disease outbreaks. This study investigates the dynamical behavior of leptospirosis, a zoonotic disease, by incorporating two discrete delays, including the incubation period delay. The impact of incubation delay on disease transmission is examined, along with the effects of handling time on the model’s dynamics. The positivity of solutions, equilibrium analysis, and stability are thoroughly examined. Bifurcation analysis is conducted for different cases of time delay parameters, revealing oscillatory behaviour when the time delay parameter is introduced, and chaotic behaviour with respect to handling time in the disease transmission function for infected animals. Hopf bifurcations are obtained for parameters <InlineEquation ID="IEq1"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="40808_2024_2226_Article_IEq1.gif" Format="GIF" Height="12" Rendition="HTML" Resolution="72" Type="Linedraw" Width="15" /> </InlineMediaObject> <EquationSource Format="TEX">\(\tau _1\)</EquationSource> <EquationSource Format="MATHML"><math> <msub> <mi>τ</mi> <mn>1</mn> </msub> </math></EquationSource> </InlineEquation> and h. Both analytical and numerical approaches are employed, with numerical simulations performed using MATLAB and Maple.</p>

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Dynamical behavior of leptospirosis: a comparative analysis of delayed and non-delayed eco-epidemic models

  • 期刊论文

  • 发表日期：

    2024年12月31日

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  • Bipin Kumar,
  • Rajesh Kumar Sinha,
  • Amit Kumar

摘要

Understanding the parameters affecting disease transmission dynamics in leptospirosis is crucial for developing effective disease control and prevention strategies. The parameters influencing disease transmission dynamics, such as incubation period delay, handling time, and disease transmission rate, can significantly impact the spread of the disease. This study’s findings have important implications for public health policy and practice, highlighting the need for targeted interventions to reduce the transmission rate of infected animals and prevent disease outbreaks. This study investigates the dynamical behavior of leptospirosis, a zoonotic disease, by incorporating two discrete delays, including the incubation period delay. The impact of incubation delay on disease transmission is examined, along with the effects of handling time on the model’s dynamics. The positivity of solutions, equilibrium analysis, and stability are thoroughly examined. Bifurcation analysis is conducted for different cases of time delay parameters, revealing oscillatory behaviour when the time delay parameter is introduced, and chaotic behaviour with respect to handling time in the disease transmission function for infected animals. Hopf bifurcations are obtained for parameters \(\tau _1\) τ 1 and h. Both analytical and numerical approaches are employed, with numerical simulations performed using MATLAB and Maple.