An efficient technique to analyze the fractional model of vector-borne diseases

The main purpose of the study is to present a numerical approach to investigate the numerical performances of the fractional 4-D chaotic financial system using a stochastic procedure. The stochastic procedures mainly depend on the combination of the artificial neural network (ANNs) along with the Levenberg-Marquardt Backpropagation (LMB) i.e., ANNs-LMB technique. The fractional-order term is defined in the Caputo sense and three cases are solved using the proposed technique for different values of the fractional order α. The values of the fractional order derivatives to solve the fractional 4-D chaotic financial system are used between 0 and 1. The data proportion is applied as 73%, 15%, and 12% for training, testing, and certification to solve the chaotic fractional system. The acquired results are verified through the comparison of the reference solution, which indicates the proposed technique is efficient and robust. The 4-D chaotic model is numerically solved by using the ANNs-LMB technique to reduce the mean square error (MSE). To authenticate the exactness, and consistency of the technique, the obtained performances are plotted in the figures of correlation measures, error histograms, and regressions. From these figures, it can be witnessed that the provided technique is effective for solving such models to give some new insight into the physical behavior of the model.

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“…The method can be considered a promising new solver, which can be applied to solve more complicated nonlinear problems [38][39][40][41][42][43].…”

Section: Discussionmentioning

confidence: 99%

An Intelligence Computational Approach for the Fractional 4D Chaotic Financial Model

Weera¹,

Botmart²,

Chantawat³

et al. 2023

Computers, Materials &Amp; Continua

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“…Considering the identified parasite species versus those expected in wild mammals and coinfection events, a new scenario is opening showing the need for research on the following topics: (i) the role of domestic/wild mammals and vectors in the maintenance of transmission cycles, which has been studied and proposed in mathematical models for different vector-borne diseases [98][99][100]; (ii) the domiciliation transition of vectors in specific areas, phenomena highly relevant for American trypanosomiasis and VL in recent years [101][102][103]; (iii) the possibility of the genetic recombination of the different actors implicated in the parasites' life cycle, not just for the vector context [104][105][106]. The latter must transcend the world view of human diseases and recognize their importance and the veterinary diseases that must be equally prioritized in the public health systems [107].…”

Section: Discussionmentioning

confidence: 99%

An overview of the trypanosomatid (Kinetoplastida: Trypanosomatidae) parasites infecting several mammal species in Colombia

et al. 2022

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Background Trypanosomatids are among the most critical parasites for public health due to their impact on human, animal, and plant health. Diseases associated with these pathogens manifest mainly in poor and vulnerable populations, where social, environmental, and biological factors modulate the case incidence and geographical distribution. Methods We used Sanger and amplicon-based next-generation sequencing (NGS) in samples from different mammals to identify trypanosomatid infections in several departments in Colombia. A total of 174 DNA samples (18 humans, 83 dogs, and 73 wild mammals) were analyzed by conventional PCR using a fragment of the heat shock protein 70 (Hsp70) gene and Sanger sequenced the positive samples. Twenty-seven samples were sent for amplicon-based NGS using the same gene fragment. Data obtained were used to perform diversity analyses. Results One hundred and thirteen samples were positive for PCR by Hsp70 fragment; these corresponded to 22.1% Leishmania spp., 18.6% L. amazonensis, 9.7% L. braziliensis, 14.2% L. infantum, 8% L. panamensis, and 27.4% Trypanosoma cruzi. Comparison of the identified species by the two sequencing technologies used resulted in 97% concordance. Alpha and beta diversity indices were significant, mainly for dogs; there was an interesting index of coinfection events in the analyzed samples: different Leishmania species and the simultaneous presence of T. cruzi and even T. rangeli in one of the samples analyzed. Moreover, a low presence of L. braziliensis was observed in samples from wild mammals. Interestingly, to our knowledge, this is the first report of Leishmania detection in Hydrochaeris hydrochaeris (capybara) in Colombia. Conclusions The Hsp70 fragment used in this study is an optimal molecular marker for trypanosomatid identification in many hosts and allows the identification of different species in the same sample when amplicon-based sequencing is used. However, the use of this fragment for molecular diagnosis through conventional PCR should be carefully interpreted because of this same capacity to identify several parasites. This point is of pivotal importance in highly endemic countries across South America because of the co-circulation of different genera from the Trypanosomatidae family. The findings show an interesting starting point for One Health approaches in which coevolution and vector-host interactions can be studied. Graphical Abstract

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“…with a normalize functions λ(α) which is depend on α ∈ λ(0) = λ(1) = 1. Definition 2.5 For CFD for integer order of 0 < α < 1. is given by [6][7][9][10][11][12][13][14][15][16][17][18][19] CF 0…”

Section: Preliminariesmentioning

confidence: 99%

“…To handle fractional order DEs, these transforms are used in conjunction with other analytical, numerical, or homotopy base methods. Laplace transforms are well-known transforms that are still used to solve FDEs [7,12]. The the rational sine-cosine and rational sinh-cosh methods [8], Hyers-Ulam stability [9], caputo-fabrizio fractional derivative [10,11,29].…”

Section: Introductionmentioning

confidence: 99%

Dynamical behavior for the approximate solutions and different wave profiles nonlinear fractional generalised Pochhammer-Chree equation in mathematical physics

Kumar¹,

Fartyal²

2022

Preprint

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In this Paper, fractional homotopy perturbation transform method (FHPTM) is used to obtain a variety of approximate solutions for the nonlinear fractional generalized Pochhammer-Chree equation which describes certain interesting higher-dimensional waves in harmonic studies, electrical, fluid mechanics, and other fields. By apply the caputo fabrizio derivative via laplace transform technique, we investigate all concerned wave models that have been used in the examination for the propagation of harmonic waves in a cylindrical rod and several problems in fluid mechanics and wave theory in physics. Banach’s fixed point hypothesis is tested for governing fractional-order model in order to establish the existence and uniqueness of the achieved solution. We considered the model in terms of arbitrary order with three cases and introduced corresponding numerical simulations to demonstrate and validate the effectiveness of the proposed algorithm. By assigning appropriate values to free parameters, dynamical wave structures of some approximate solutions are graphically demonstrated using 2D and 3D fig. This method can also be used to approximate the solutions of other well-known equations in engineering physics, quantum field , and other applied sciences. Furthermore, various simulations are used to demonstrate the physical behaviors of the acquired solution with respect to fractional integer order.

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An efficient technique to analyze the fractional model of vector-borne diseases

Abstract: In the present work, we find and analyze the approximated analytical solution for the vector-borne diseases model of fractional order with the help of q -homotopy analysis transform method ( q -HATM). Many novel definitions of fractional derivatives … Show more

Cited by 36 publications

References 32 publications

An Intelligence Computational Approach for the Fractional 4D Chaotic Financial Model

An Intelligence Computational Approach for the Fractional 4D Chaotic Financial Model

An overview of the trypanosomatid (Kinetoplastida: Trypanosomatidae) parasites infecting several mammal species in Colombia

Dynamical behavior for the approximate solutions and different wave profiles nonlinear fractional generalised Pochhammer-Chree equation in mathematical physics

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