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Chauhan, Ram, Singh, Ravikant, Thota, Srinivasarao. (1405). Fractional prey-predator model in biological Pest control. سامانه مدیریت نشریات علمی, 14(3), 1010-1024. doi: 10.22034/cmde.2025.64960.2960
Ram Pratap Chauhan; Ravikant Singh; Srinivasarao Thota. "Fractional prey-predator model in biological Pest control". سامانه مدیریت نشریات علمی, 14, 3, 1405, 1010-1024. doi: 10.22034/cmde.2025.64960.2960
Chauhan, Ram, Singh, Ravikant, Thota, Srinivasarao. (1405). 'Fractional prey-predator model in biological Pest control', سامانه مدیریت نشریات علمی, 14(3), pp. 1010-1024. doi: 10.22034/cmde.2025.64960.2960
Chauhan, Ram, Singh, Ravikant, Thota, Srinivasarao. Fractional prey-predator model in biological Pest control. سامانه مدیریت نشریات علمی, 1405; 14(3): 1010-1024. doi: 10.22034/cmde.2025.64960.2960

Fractional prey-predator model in biological Pest control

Computational Methods for Differential Equations
مقاله 2، دوره 14، شماره 3، مهر 2026، صفحه 1010-1024    اصل مقاله (3.12 M)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22034/cmde.2025.64960.2960
نویسندگان
Ram Pratap Chauhan1؛ Ravikant Singh2؛ Srinivasarao Thota* 1
1Department of Mathematics, Amrita School of Engineering, Amrita Vishwa Vidyapeetham, Amaravati, Andhra Pradesh--522503, India.
2Department of Mathematics, Amity School of Engineering and Technology, Amity University, Gwalior, Madhya Pradesh--474020, India.
چکیده
In developing countries, the agricultural industry is pivotal in economic development and sustaining rural livelihoods. However, one of the major challenges to achieving global food security is crop losses caused by pests. Pest control is a vital practice for safeguarding crops; it is often complicated by the need to balance pest reduction with the associated costs of operations, as well as the potential impacts on the environment and human health. This delicate balance is crucial for sustainable agriculture and long-term food security. In this paper, a mathematical model is developed to quantify the complex biological processes involved in the biological control of pests through prey-predator mechanisms. We provide trajectory analysis in the research discussion analysis.
کلیدواژه‌ها
Fractional derivative؛ Prey-predator؛ Biological pest؛ Food Security؛ Stability
مراجع
  • [1] A. A. Ayoade and S. Thota, Integrated Pests Management and Food Security: A Mathematical Analysis, Computational Methods for Differential Equations, 13(2) (2025), 524-537.
  • [2] A. A. Ayoade, O. M. Ogunmiloro, and S. Thota, Mathematical modeling and analysis of the influence of family background on the spread of crime, Quality and Quantity, (2024).
  • [3] A. A. Ayoade, S. Thota, and Z. Shah: Modeling the Influence of Treatment Accessibility and Treatment Compliance on the Dynamics of HIV/AIDS, Journal of Nonlinear Modeling and Analysis, 7(2) (2025), 552–582.
  • [4] A. A. Ayoade, S. Thota, and Z. Shah, Theoretical framework for biological control of pest: a mathematical modeling approach, Environmental Science and Pollution Research, 31 (2024), 54453–54462.
  • [5] A. A. Berryman, The orgins and evolution of predator-prey theory, Ecology, 73(5) (1992), 1530–1535.
  • [6] F. Brauer and C. Castillo-Chavez, Mathematical models in population biology and epidemiology, Springer, 2(40) (2012), 1–11.
  • [7] S. Chakraverty, R. M. Jena, and S. K. Jena, Computational fractional dynamical systems: fractional differential equations and applications, John Wiley & Sons, (2022).
  • [8] R. P. Chauhan, S. Kumar, and S. Thota, Analyzing Tobacco Smoking Dynamics: Fractional and Fractal-Fractional Approaches, WSEAS Transactions on Systems, 24 (2025), 20–35.
  • [9] A. Gassner, D. Harris, K. Mausch, A. Terheggen, C. Lopes, R. F. Finlayson, and P. Dobie, Poverty eradication and food security through agriculture in Africa: Rethinking objectives and entry points, Outlook on Agriculture, 48(4) (2019), 309–315.
  • [10] C. S. Holling, Some characteristics of simple types of predation and parasitism, The Canadian Entomologist, 91(7) (1959), 385–398.
  • [11] C. S. Holling, The functional response of predators to prey density and its role in mimicry and population regu- lation, The Memoirs of the Entomological Society of Canada, 97(S45) (1965), 5–60.
  • [12] A. A. Kilbas, H. M. Srivastava, and J. J. Trujillo, Theory and applications of fractional differential equations, Elsevier, 204 (2006).
  • [13] A. Kumar and S. Kumar, A study on eco-epidemiological model with fractional operators, Chaos, Solitons & Fractals, 156 (2022), 111697.
  • [14] Y. Li, Y. Chen, and I. Podlubny, Stability of fractional-order nonlinear dynamic systems: Lyapunov direct method and generalized Mittag–Leffler stability, Computers & Mathematics with Applications, 59(5) (2010), 1810–1821.
  • [15] D. Matignon, Stability results for fractional differential equations with applications to control processing, Computational Engineering in Systems Applications, 2(1) (1996), 963–968.
  • [16] Z. M. Odibat and N. T. Shawagfeh, Generalized Taylor’s formula, Applied Mathematics and Computation, 186(1) (2007), 286–293.
  • [17] K. Oldham and J. Spanier, The fractional calculus: theory and applications of differentiation and integration to arbitrary order, Elsevier, (1974).
  • [18] R. Pearl, The growth of populations, The Quarterly Review of Biology, 2(4) (1927), 532–548.
  • [19] I. Petras, Fractional-order nonlinear systems: modeling, analysis and simulation, Springer Science & Business Media, (2011).
  • [20] I. Podlubny, Fractional differential equations: an introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications, Elsevier, (1998).
  • [21] M. Rafikov and J. Balthazar, Optimal pest control problem in population dynamics, Computational & Applied Mathematics, 24 (2005), 65–81.
  • [22] S. Savary, S. Bregaglio, L. Willocquet, D. Gustafson, D. Mason D’Croz, A. Sparks, N. Castilla, A. Djurle, C. Allinne, M. Sharma, and et al., Crop health and its global impacts on the components of food security, Food Security, 9 (2017), 311–327.
  • [23] B. M. Syrti, A. Devi, and A. J. Kashyap, Analysis of Stability, Sensitivity Index and Hopf Bifurcation of Eco- Epidemiological SIR Model under Pesticide Application, Commun. Biomath. Sci., 6(2) (2023), 126–144.
  • [24] S. Thota and A. A. Ayoade, On dynamical analysis of a prey-diseased predator model with refuge in prey, Appl. Math. Inf. Sci., 15(6) (2021), 717–721.
  • [25] S. Thota, On an ecological model of mutualism between two species with a mortal predator, Appl. Appl. Math,15(2) (2020), 1309–1322.
  • [26] S. Thota, A three species ecological model with Holling Type-II functional response, Inf. Sci. Lett., 10(3) (2021), 439–444.
  • [27] M. H. F. Wilkinson, Mathematical modelling of predatory prokaryotes, Predatory Prokaryotes: Biology, Ecology and Evolution, (2006), 93–130.
  • [28] Y. Xiao and L. Chen, Modeling and analysis of a predator–prey model with disease in the prey, Mathematical Biosciences, 171(1) (2001), 59–82.
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