Analysis of Leptospirosis transmission dynamics with environmental effects and bifurcation using fractional-order derivative

Alalhareth, Fawaz K.; Atta, Usama; Ali, Ali Hasan; Ahmad, Aqeel; Alharbi, Mohammed H.

doi:10.1016/j.aej.2023.08.063

Cited by 6 publications

(3 citation statements)

References 18 publications

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“…In our study, we have analyzed the possibility of utilizing the competitive interactions between viruses for the benefit of the infected host. Whether a similar phenomenon could be examined for other pathogens of major public concern, e.g., bacterial infections with Salmonella typhi Leptospira, using available mathematical models deserves a systematic multidisciplinary investigation [66,67].…”

Section: Discussionmentioning

confidence: 99%

Exploring the Therapeutic Potential of Defective Interfering Particles in Reducing the Replication of SARS-CoV-2

Locke,

Grebennikov,

Sazonov

et al. 2024

Mathematics

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SARS-CoV-2 still presents a global threat to human health due to the continued emergence of new strains and waning immunity among vaccinated populations. Therefore, it is still relevant to investigate potential therapeutics, such as therapeutic interfering particles (TIPs). Mathematical and computational modeling are valuable tools to study viral infection dynamics for predictive analysis. Here, we expand on the previous work on SARS-CoV-2 intra-cellular replication dynamics to include defective interfering particles (DIPs) as potential therapeutic agents. We formulate a deterministic model that describes the replication of wild-type (WT) SARS-CoV-2 virus in the presence of DIPs. Sensitivity analysis of parameters to several model outputs is employed to inform us on those parameters to be carefully calibrated from experimental data. We then study the effects of co-infection on WT replication and how DIP dose perturbs the release of WT viral particles. Furthermore, we provide a stochastic formulation of the model that is compared to the deterministic one. These models could be further developed into population-level models or used to guide the development and dose of TIPs.

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Section: Discussionmentioning

confidence: 99%

Exploring the Therapeutic Potential of Defective Interfering Particles in Reducing the Replication of SARS-CoV-2

Locke,

Grebennikov,

Sazonov

et al. 2024

Mathematics

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“…From [30,31], we observe that none of the eigenvalues are equal to 1 or −1, which indicates that our model (3) may experience bifurcation, depending on the values of the constants: n, , , , , , , , , , n n and is given as: , , , , , , : 0 .…”

Section: Flip Bifurcation Analysismentioning

confidence: 91%

Investigation of conjunctivitis adenovirus spread in human eyes by using bifurcation tool and numerical treatment approach

Javed,

Ahmad,

Ali

et al. 2024

Phys. Scr.

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In order to investigate the dynamics of the system, a mathematical model must be created to comprehend the dynamics of various prevalent diseases worldwide. The purpose of this investigation is to explore the early identification and treatment of conjunctivitis adenovirus by introducing vaccination methods for asymptomatic individuals. A mathematical model is constructed with the aim of strengthening the immune system. The ABC operator is then utilized to convert the model into a fractionally ordered one. The developed system is analyzed with analytical solutions by employing Sumudu transforms, including convergence analysis. The boundedness and uniqueness of the model are investigated using Banach space, which are key properties of such epidemic models. The uniqueness of the system is confirmed to ensure it has a unique solution. The stability of the newly constructed SEVIR system is investigated both qualitatively and statistically, and the system’s flip bifurcation has been verified. The developed system is examined through a Lyapunov function-based local and global stability study. The solution to the system is found using the Atangana-Toufik technique, a sophisticated method for reliable bounded solutions, employing various fractional values. Error analysis has also been conducted for the scheme. Simulations have been carried out to observe the real behavior and effects of the conjunctivitis virus, confirming that individuals with a strong immune response can recover without medication during the acute stage of infection. This helps to understand the real situation regarding the control of conjunctivitis adenovirus after early detection and treatment by introducing vaccination measures due to the strong immune response of the patients. Such investigations are useful for understanding the spread of the disease and for developing control strategies based on the justified outcomes.

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“…The dynamics of infectious diseases have been studied and explained using a variety of mathematical models 3 . To investigate the spread of infection at various endemicity levels, Cvjetanovic et al built a mathematical model for typhoid disease.…”

Section: Introductionmentioning

confidence: 99%

Numerical investigation of a typhoid disease model in fuzzy environment

Dayan,

Ahmed,

Ali

et al. 2023

Sci Rep

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Salmonella Typhi, a bacteria, is responsible for typhoid fever, a potentially dangerous infection. Typhoid fever affects a large number of people each year, estimated to be between 11 and 20 million, resulting in a high mortality rate of 128,000 to 161,000 deaths. This research investigates a robust numerical analytic strategy for typhoid fever that takes infection protection into consideration and incorporates fuzzy parameters. The use of fuzzy parameters acknowledges the variation in parameter values among individuals in the population, which leads to uncertainties. Because of their diverse histories, different age groups within this community may exhibit distinct customs, habits, and levels of resistance. Fuzzy theory appears as the most appropriate instrument for dealing with these uncertainty. With this in mind, a model of typhoid fever featuring fuzzy parameters is thoroughly examined. Two numerical techniques are developed within a fuzzy framework to address this model. We employ the non-standard finite difference (NSFD) scheme, which ensures the preservation of essential properties like dynamic consistency and positivity. Additionally, we conduct numerical simulations to illustrate the practical applicability of the developed technique. In contrast to many classical methods commonly found in the literature, the proposed approach exhibits unconditional convergence, solidifying its status as a dependable tool for investigating the dynamics of typhoid disease.

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Analysis of Leptospirosis transmission dynamics with environmental effects and bifurcation using fractional-order derivative

Cited by 6 publications

References 18 publications

Exploring the Therapeutic Potential of Defective Interfering Particles in Reducing the Replication of SARS-CoV-2

Exploring the Therapeutic Potential of Defective Interfering Particles in Reducing the Replication of SARS-CoV-2

Investigation of conjunctivitis adenovirus spread in human eyes by using bifurcation tool and numerical treatment approach

Numerical investigation of a typhoid disease model in fuzzy environment

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