Research Article
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Year 2023, Volume: 44 Issue: 4, 741 - 752, 28.12.2023
https://doi.org/10.17776/csj.1221388

Abstract

References

  • [1] Weigelhofer W.S., Lindsay K.A, Ordinary differential equations & applications: Mathematical methods for applied mathematicians, physicists, engineers and bioscientists, Woodhead (1999).
  • [2] Murray J. D., Mathematical Biology, Springer, Berlin (1993).
  • [3] Aggarwal S., Gupta, A.R., Dualities between Mohand transform and some useful integral transforms, International Journal of Recent Technology and Engineering, 8(3) (2019) 843 -847.
  • [4] Aggarwal S., Gupta A.R., Dualities between some useful integral transforms and Sawi transform, International Journal of Recent Technology and Engineering, 8(3) (2019), 5978-5982.
  • [5] Aggarwal S., Bhatnagar K., Dua A., Dualities between Elzaki transform and some useful integral transforms, International Journal of Innovative Technology and Exploring Engineering, 8(12) (2019), 4312-4318.
  • [6] Chauhan R., Kumar N., Aggarwal S., Dualities between Laplace-Carson transform and some useful integral transforms, International Journal of Innovative Technology and Exploring Engineering, 8(12) (2019) 1654-1659.
  • [7] Aggarwal S., Bhatnagar K., Dualities between Laplace transform and some useful integral transforms, International Journal of Engineering and Advanced Technology, 9(1) (2019) 936-941.
  • [8] Chaudhary R., Sharma S.D., Kumar N., Aggarwal S., Connections between Aboodh transform and some useful integral transforms, International Journal of Innovative Technology and Exploring Engineering, 9(1) (2019) 1465-1470.
  • [9] Aggarwal S., Sharma N., Chauhan R., Duality relations of Kamal transform with Laplace, Laplace–Carson, Aboodh, Sumudu, Elzaki, Mohand and Sawi transforms, SN Appl. Sci., 2, 135 (2020) doi:10.1007/s42452-019-1896-z.
  • [10] Mishra R., Aggarwal S., Chaudhary L., Kumar A., Relationship between Sumudu and some efficient integral transforms, International Journal of Innovative Technology and Exploring Engineering, 9(3) (2020) 153-159.
  • [11] Rao R.U., ZZ Transform Method for Natural Growth and Decay Problems, International Journal of Progressive Sciences and Technologies, 5(2) (2017) 147-150.
  • [12] Aggarwal S., Gupta A.R., Singh D.P., Asthana N., Kumar N., Application of Laplace transform for solving population growth and decay problems, International Journal of Latest Technology in Engineering, Management & Applied Science, 7(9) (2018) 141-145.
  • [13] Aggarwal S., Singh D.P., Asthana N., Gupta A.R., Application of Elzaki Transform for Solving Population Growth and Decay Problems, Journal of Emerging Technologies and Innovative Research, 5(9) (2018) 281-284.
  • [14] Aggarwal S., Gupta A.R., Asthana N., Singh D.P., Application of Kamal transform for Solving Population Growth and Decay Problems, Global Journal of Engineering Science and Researches, 5(9) (2018) 254-260.
  • [15] Aggarwal S., Asthana N., Singh D.P., Solution of Population Growth and Decay Problems by Using Aboodh Transform Method, International Journal of Research in Advent Technology, 6(10) (2018) 2706-2710.
  • [16] Aggarwal S., Pandey M., Asthana N., Singh D.P., Kumar N., Application of Mahgoub Transform for Solving Population Growth and Decay Problems, Journal of Computer and Mathematical Sciences, 9(10) (2018) 1490-1496.
  • [17] Aggarwal S., Sharma N., Chauhan R., Solution of Population Growth and Decay Problems by Using Mohand Transform, International Journal of Research in Advent Technology, 6(11) (2018) 3277-3282.
  • [18] Aggarwal S., Sharma S.D., Gupta A.R., Application of Shehu Transform for Handling Growth and Decay Problems, Global Journal of Engineering Science and Researches, 6(4) (2019) 190-198.
  • [19] Aggarwal S., Bhatnagar K., Sadik Transform for Handling Population Growth and Decay Problems, Journal of Applied Science and Computations, 6 (6) (2019) 1212-1221.
  • [20]Singh G.P., Aggarwal S., Sawi Transform for Population Growth and Decay Problems, International Journal of Latest Technology in Engineering, Management & Applied Science, 8(8) (2019) 157-162.
  • [21] Verma D., Singh A.P., Verma S.K., Scrutinize Of Growth and Decay Problems by Dinesh Verma Transform (DVT), IRE Journals, 3(12) (2020) 148-153.
  • [22] Bansal S., Kumar A., Aggarwal S., Application of Anuj Transform for the Solution of Bacteria Growth Model, GIS Science Journal, 9(6) (2022) 1465-1472.
  • [23]Pamuk S., Soylu N., Laplace transform method for logistic growth in a population and predator models, New Trends in Mathematical Sciences, 8(3) (2020) 9-17.
  • [24]Peker H. A., Çuha, F. A., Application of Kashuri Fundo Transform to Decay Problem, Süleyman Demirel Üniversitesi Fen Bilimleri Enstitüsü Dergisi, 26 (3) (2022) 546-551.
  • [25]Priyanka, Aggarwal S., Solution of the model of the bacteria growth via Rishi transform, Journal of Advanced Research in Applied Mathematics and Statistics, 7(1&2) (2022) 5-11.
  • [26]Higazy M., Aggarwal S., Nofal T.A., Sawi decomposition method for Volterra integral equation with application, Journal of Mathematics, (2020) Article ID 6687134, 13 pages.
  • [27] Higazy M., Aggarwal S., Hamed Y.S., Determination of number of infected cells and concentration of viral particles in plasma during HIV-1 infections using Shehu transformation, Journal of Mathematics, (2020), Article ID 6624794, 13 pages.
  • [28]Kumar R., Chandel J., Aggarwal S., A new integral transform “Rishi Transform” with application, Journal of Scientific Research, 14(2) (2022) 521-532.
  • [29]Güngör N., Application of Kharrat-Toma Transform for Solving Linear Volterra Integral Equations, Journal of Universal Mathematics, 3 (2) (2020) 137-145.
  • [30]Oral P., Merdan M., Bekiryazıcı Z., Analysis of a Random Zeeman Heartbeat Model with Differential Transformation Method, Cumhuriyet Science Journal, 40 (2) (2019) 285-298. DOI: 10.17776/csj.460984
  • [31] Saadeh R.Z., Ghazal B.f., A New Approach on Transforms: Formable Integral Transform and Its Applications, Axioms, 10 (332) (2021) 1-21.
  • [32]Güngör N., Solution of Convolution Type Linear Volterra Integral Equations with Formable Transform, International Journal of Latest Technology in Engineering, Management & Applied Science, 11(12) (2022) 1-4.
  • [33]Ghazal B., Saadeh R., Sedeeg A.K., Solving Partial Integro-Differential Equations via Double Formable Transform, Applied Computational Intelligence and Soft Computing, (2022) Article ID 6280736, 15 pages.
  • [34]Saadeh R., Sedeeg A.K., Ghazal B., Gharih G., Double Formable Integral Transform for Solving Heat Equations, Symmetry, 15 (218) (2023).
  • [35]Saadeh R., Qazza A., Burqan A., Al-Omari S., On Time Fractional Partial Differential Equations and Their Solution by Certain Formable Transform Decomposition Method, Computer Modeling in Engineering & Sciences, 136(3) (2023) 3121-3139.
  • [36]Prajapati J.V., Meher R., Solution of Time-Fractional Rosenau-Hyman Model Using a Robust Homotopy Approach via Formable Transform, Iran J. Sci. Technol. Trans. Sci., 46 (2022) 1431–1444.
  • [37] Khalid M., Alha S., On Hilfer-Prabhakar derivatives Formable integral transform and its applications to fractional differential equations, Authorea, January 24 (2023).

Application of Formable Transform for Solving Growth and Decay Problems, Logistic Growth Model and Prey-Predator Model

Year 2023, Volume: 44 Issue: 4, 741 - 752, 28.12.2023
https://doi.org/10.17776/csj.1221388

Abstract

Integral transforms have become the focus of investigations, because they allow the solution of significant problems in the domains of science and engineering to be accomplished with a minimal number of straightforward calculations. In this study, growth and decay problems, which are crucial in fields such as biology, zoology, physics, chemistry, and economics, are solved utilizing the Formable transform. The Formable transform method is applied to the logistic growth model in population and prey-predator models. The effectiveness and simplicity of the use of the Formable transform in obtaining the solution to these problems are examples.

References

  • [1] Weigelhofer W.S., Lindsay K.A, Ordinary differential equations & applications: Mathematical methods for applied mathematicians, physicists, engineers and bioscientists, Woodhead (1999).
  • [2] Murray J. D., Mathematical Biology, Springer, Berlin (1993).
  • [3] Aggarwal S., Gupta, A.R., Dualities between Mohand transform and some useful integral transforms, International Journal of Recent Technology and Engineering, 8(3) (2019) 843 -847.
  • [4] Aggarwal S., Gupta A.R., Dualities between some useful integral transforms and Sawi transform, International Journal of Recent Technology and Engineering, 8(3) (2019), 5978-5982.
  • [5] Aggarwal S., Bhatnagar K., Dua A., Dualities between Elzaki transform and some useful integral transforms, International Journal of Innovative Technology and Exploring Engineering, 8(12) (2019), 4312-4318.
  • [6] Chauhan R., Kumar N., Aggarwal S., Dualities between Laplace-Carson transform and some useful integral transforms, International Journal of Innovative Technology and Exploring Engineering, 8(12) (2019) 1654-1659.
  • [7] Aggarwal S., Bhatnagar K., Dualities between Laplace transform and some useful integral transforms, International Journal of Engineering and Advanced Technology, 9(1) (2019) 936-941.
  • [8] Chaudhary R., Sharma S.D., Kumar N., Aggarwal S., Connections between Aboodh transform and some useful integral transforms, International Journal of Innovative Technology and Exploring Engineering, 9(1) (2019) 1465-1470.
  • [9] Aggarwal S., Sharma N., Chauhan R., Duality relations of Kamal transform with Laplace, Laplace–Carson, Aboodh, Sumudu, Elzaki, Mohand and Sawi transforms, SN Appl. Sci., 2, 135 (2020) doi:10.1007/s42452-019-1896-z.
  • [10] Mishra R., Aggarwal S., Chaudhary L., Kumar A., Relationship between Sumudu and some efficient integral transforms, International Journal of Innovative Technology and Exploring Engineering, 9(3) (2020) 153-159.
  • [11] Rao R.U., ZZ Transform Method for Natural Growth and Decay Problems, International Journal of Progressive Sciences and Technologies, 5(2) (2017) 147-150.
  • [12] Aggarwal S., Gupta A.R., Singh D.P., Asthana N., Kumar N., Application of Laplace transform for solving population growth and decay problems, International Journal of Latest Technology in Engineering, Management & Applied Science, 7(9) (2018) 141-145.
  • [13] Aggarwal S., Singh D.P., Asthana N., Gupta A.R., Application of Elzaki Transform for Solving Population Growth and Decay Problems, Journal of Emerging Technologies and Innovative Research, 5(9) (2018) 281-284.
  • [14] Aggarwal S., Gupta A.R., Asthana N., Singh D.P., Application of Kamal transform for Solving Population Growth and Decay Problems, Global Journal of Engineering Science and Researches, 5(9) (2018) 254-260.
  • [15] Aggarwal S., Asthana N., Singh D.P., Solution of Population Growth and Decay Problems by Using Aboodh Transform Method, International Journal of Research in Advent Technology, 6(10) (2018) 2706-2710.
  • [16] Aggarwal S., Pandey M., Asthana N., Singh D.P., Kumar N., Application of Mahgoub Transform for Solving Population Growth and Decay Problems, Journal of Computer and Mathematical Sciences, 9(10) (2018) 1490-1496.
  • [17] Aggarwal S., Sharma N., Chauhan R., Solution of Population Growth and Decay Problems by Using Mohand Transform, International Journal of Research in Advent Technology, 6(11) (2018) 3277-3282.
  • [18] Aggarwal S., Sharma S.D., Gupta A.R., Application of Shehu Transform for Handling Growth and Decay Problems, Global Journal of Engineering Science and Researches, 6(4) (2019) 190-198.
  • [19] Aggarwal S., Bhatnagar K., Sadik Transform for Handling Population Growth and Decay Problems, Journal of Applied Science and Computations, 6 (6) (2019) 1212-1221.
  • [20]Singh G.P., Aggarwal S., Sawi Transform for Population Growth and Decay Problems, International Journal of Latest Technology in Engineering, Management & Applied Science, 8(8) (2019) 157-162.
  • [21] Verma D., Singh A.P., Verma S.K., Scrutinize Of Growth and Decay Problems by Dinesh Verma Transform (DVT), IRE Journals, 3(12) (2020) 148-153.
  • [22] Bansal S., Kumar A., Aggarwal S., Application of Anuj Transform for the Solution of Bacteria Growth Model, GIS Science Journal, 9(6) (2022) 1465-1472.
  • [23]Pamuk S., Soylu N., Laplace transform method for logistic growth in a population and predator models, New Trends in Mathematical Sciences, 8(3) (2020) 9-17.
  • [24]Peker H. A., Çuha, F. A., Application of Kashuri Fundo Transform to Decay Problem, Süleyman Demirel Üniversitesi Fen Bilimleri Enstitüsü Dergisi, 26 (3) (2022) 546-551.
  • [25]Priyanka, Aggarwal S., Solution of the model of the bacteria growth via Rishi transform, Journal of Advanced Research in Applied Mathematics and Statistics, 7(1&2) (2022) 5-11.
  • [26]Higazy M., Aggarwal S., Nofal T.A., Sawi decomposition method for Volterra integral equation with application, Journal of Mathematics, (2020) Article ID 6687134, 13 pages.
  • [27] Higazy M., Aggarwal S., Hamed Y.S., Determination of number of infected cells and concentration of viral particles in plasma during HIV-1 infections using Shehu transformation, Journal of Mathematics, (2020), Article ID 6624794, 13 pages.
  • [28]Kumar R., Chandel J., Aggarwal S., A new integral transform “Rishi Transform” with application, Journal of Scientific Research, 14(2) (2022) 521-532.
  • [29]Güngör N., Application of Kharrat-Toma Transform for Solving Linear Volterra Integral Equations, Journal of Universal Mathematics, 3 (2) (2020) 137-145.
  • [30]Oral P., Merdan M., Bekiryazıcı Z., Analysis of a Random Zeeman Heartbeat Model with Differential Transformation Method, Cumhuriyet Science Journal, 40 (2) (2019) 285-298. DOI: 10.17776/csj.460984
  • [31] Saadeh R.Z., Ghazal B.f., A New Approach on Transforms: Formable Integral Transform and Its Applications, Axioms, 10 (332) (2021) 1-21.
  • [32]Güngör N., Solution of Convolution Type Linear Volterra Integral Equations with Formable Transform, International Journal of Latest Technology in Engineering, Management & Applied Science, 11(12) (2022) 1-4.
  • [33]Ghazal B., Saadeh R., Sedeeg A.K., Solving Partial Integro-Differential Equations via Double Formable Transform, Applied Computational Intelligence and Soft Computing, (2022) Article ID 6280736, 15 pages.
  • [34]Saadeh R., Sedeeg A.K., Ghazal B., Gharih G., Double Formable Integral Transform for Solving Heat Equations, Symmetry, 15 (218) (2023).
  • [35]Saadeh R., Qazza A., Burqan A., Al-Omari S., On Time Fractional Partial Differential Equations and Their Solution by Certain Formable Transform Decomposition Method, Computer Modeling in Engineering & Sciences, 136(3) (2023) 3121-3139.
  • [36]Prajapati J.V., Meher R., Solution of Time-Fractional Rosenau-Hyman Model Using a Robust Homotopy Approach via Formable Transform, Iran J. Sci. Technol. Trans. Sci., 46 (2022) 1431–1444.
  • [37] Khalid M., Alha S., On Hilfer-Prabhakar derivatives Formable integral transform and its applications to fractional differential equations, Authorea, January 24 (2023).

Details

Primary Language English
Subjects Mathematical Sciences
Journal Section Natural Sciences
Authors

Nihan GÜNGÖR 0000-0003-1235-2700

Publication Date December 28, 2023
Submission Date December 19, 2022
Acceptance Date October 15, 2023
Published in Issue Year 2023Volume: 44 Issue: 4

Cite

APA GÜNGÖR, N. (2023). Application of Formable Transform for Solving Growth and Decay Problems, Logistic Growth Model and Prey-Predator Model. Cumhuriyet Science Journal, 44(4), 741-752. https://doi.org/10.17776/csj.1221388