A predator–prey model with additive Allee effect and intraspecific competition on predator involving Atangana–Baleanu–Caputo derivative

Cao, 2022, Investigating the spread of a disease on the prey and predator interactions through a nonsingular fractional model, Results Phys, 32 Majumdar, 2021, The complex dynamical behavior of a prey-predator model with Holling type-III functional response and non-linear predator harvesting, Int J Model Simul, 1 Yang, 2022, Spatiotemporal dynamics induced by nonlocal competition in a diffusive predator–prey system with habitat complexity, Nonlinear Dyn, 110, 879, 10.1007/s11071-022-07625-x Ananth, 2021, Influence of quantity of additional food in achieving biological conservation and pest management in minimum-time for prey-predator systems involving Holling type III response, Heliyon, 7, e07699, 10.1016/j.heliyon.2021.e07699 Jose, 2022, Stability analysis and comparative study on different eco-epidemiological models: Stage structure for prey and predator concerning impulsive control, Optim Control Appl Methods, 43, 842, 10.1002/oca.2856 Jose, 2022, An integrated eco-epidemiological plant pest natural enemy differential equation model with various impulsive strategies, Math Probl Eng, 10.1155/2022/4780680 Umar Sharif, 2022, Combined influences of environmental enrichment and harvesting mediate rich dynamics in an intraguild predation fishery system, Ecol Model, 474 Premakumari, 2022, Dynamics of a fractional plankton–fish model under the influence of toxicity, refuge, and combine-harvesting efforts, J Inequal Appl, 2022, 137, 10.1186/s13660-022-02876-z Panayotova, 2023, Bioeconomic analysis of harvesting within a predator–prey system: A case study in the Chesapeake Bay fisheries, Ecol Model, 480, 10.1016/j.ecolmodel.2023.110330 Juneja, 2018, Conservation of a predator species in SIS prey-predator system using optimal taxation policy, Chaos Solitons Fractals, 116, 86, 10.1016/j.chaos.2018.09.024 Harjanto, 2017, On territorial competition between Rhinoceros Sondaicus and Bos Javanicus at Ujung Kulon National Park, Commun Biomath Sci, 1, 46 Kuswanda, 2021, The estimation of demographic parameters and a growth model for Tapanuli orangutan in the Batang Toru Landscape, South Tapanuli Regency, Indonesia, Global Ecol Conserv, 31, e01832, 10.1016/j.gecco.2021.e01832 Anggriani, 2013, A critical protection level derived from dengue infection mathematical model considering asymptomatic and symptomatic classes, J Phys: Conf Ser, 423 Supriatna, 2016, The optimal strategy of wolbachia-infected mosquitoes release program: An application of control theory in controlling dengue disease, 38 Ghanbari, 2020, A fractional system of delay differential equation with nonsingular kernels in modeling hand-foot-mouth disease, Adv Differ Equ, 2020, 536, 10.1186/s13662-020-02993-3 Peter OJ, Panigoro HS, Ibrahim MA, Otunuga OM, Ayoola TA, Oladapo AO. Analysis and dynamics of measles with control strategies: A mathematical modeling approach. Int J Dyn Control http://dx.doi.org/10.1007/s40435-022-01105-1, URL. Peter, 2023, Mathematical model of COVID-19 pandemic with double dose vaccination, Acta Biotheor, 71, 9, 10.1007/s10441-023-09460-y Ghanbari, 2023, A new model for investigating the transmission of infectious diseases in a prey-predator system using a non-singular fractional derivative, Math Methods Appl Sci, 46, 8106, 10.1002/mma.7412 Ghanbari, 2021, Chaotic behaviors of the prevalence of an infectious disease in a prey and predator system using fractional derivatives, Math Methods Appl Sci, 44, 9998, 10.1002/mma.7386 Yousef, 2022, Dynamics and simulations of discretized Caputo-conformable fractional-order Lotka–Volterra models, Nonlinear Eng, 11, 100, 10.1515/nleng-2022-0013 Okyere, 2023, Modeling and analysis of monkeypox disease using fractional derivatives, Results Eng, 17 Atangana, 2016, New fractional derivatives with nonlocal and non-singular kernel: Theory and application to heat transfer model, Thermal Sci, 20, 763, 10.2298/TSCI160111018A Baleanu, 2018, On some new properties of fractional derivatives with Mittag-Leffler kernel, Commun Nonlinear Sci Numer Simul, 59, 444, 10.1016/j.cnsns.2017.12.003 Atangana, 2016, Chaos in a simple nonlinear system with Atangana–Baleanu derivatives with fractional order, Chaos Solitons Fractals, 89, 447, 10.1016/j.chaos.2016.02.012 Jose, 2023, Computational dynamics of a fractional order substance addictions transfer model with Atangana-Baleanu-Caputo derivative, Math Methods Appl Sci, 46, 5060, 10.1002/mma.8818 Xu, 2022, Oscillatory, crossover behavior and chaos analysis of HIV-1 infection model using piece-wise Atangana–Baleanu fractional operator: Real data approach, Chaos Solitons Fractals, 164 Farman, 2023, Numerical and quantitative analysis of HIV/AIDS model with modified Atangana-Baleanu in Caputo sense derivative, Alex Eng J, 66, 31, 10.1016/j.aej.2022.11.034 Sekerci, 2020, Climate change effects on fractional order prey-predator model, Chaos Solitons Fractals, 134, 10.1016/j.chaos.2020.109690 Ghanbari, 2020, On approximate solutions for a fractional prey–predator model involving the Atangana–Baleanu derivative, Adv Differ Equ, 2020, 679, 10.1186/s13662-020-03140-8 Ghanbari, 2020, A study on fractional predator–prey–pathogen model with <scp> Mittag–Leffler</scp> kernel-based operators, Numer Methods Part Differ Equ, 10.1002/num.22689 Owolabi, 2021, Analysis and simulation of herd behaviour dynamics based on derivative with nonlocal and nonsingular kernel, Results Phys, 22, 10.1016/j.rinp.2021.103941 Caputo, 1967, Linear Models of Dissipation whose Q is almost Frequency Independent–II, Geophys J Int, 13, 529, 10.1111/j.1365-246X.1967.tb02303.x Podlubny, 1999 Caputo, 2015, A new definition of fractional derivative without singular kernel, Progress Frac Differ Appl, 1, 73 Almalahi MA, Abdo MS, Abdeljawad T, Bonyah E. Theoretical and numerical analysis of a prey–predator model (3-species) in the frame of generalized Mittag-Leffler law. Int J Nonlinear Sci Numer Simul http://dx.doi.org/10.1515/ijnsns-2021-0288, URL. Taneco-Hernández, 2020, Stability and Lyapunov functions for systems with Atangana–Baleanu Caputo derivative: An HIV/AIDS epidemic model, Chaos Solitons Fractals, 132, 10.1016/j.chaos.2019.109586 Allee, 1931 Dennis, 1989, Allee effects: Population growth, critical density, and the chance of extinction, Nat Resourc Model, 3, 481, 10.1111/j.1939-7445.1989.tb00119.x Courchamp, 2008 Panigoro HS, Rayungsari M, Suryanto A. Bifurcation and chaos in a discrete-time fractional-order logistic model with Allee effect and proportional harvesting. Int J Dyn Control http://dx.doi.org/10.1007/s40435-022-01101-5, URL. Panigoro, 2022, A fractional order predator–prey model with strong allee effect and Michaelis–Menten type of predator harvesting, AIP Conf Proc, 2498, 20018, 10.1063/5.0082684 Sarangi, 2023, Dynamics of a spatially explicit eco-epidemic model with double Allee effect, Math Comput Simul, 206, 241, 10.1016/j.matcom.2022.11.004 Bi, 2022, Spatial dynamics of a fractional predator–prey system with time delay and Allee effect, Chaos Solitons Fractals, 162 Yang, 2023, Allee effect in a diffusive predator – prey system with nonlocal prey competition, Physica A, 615, 10.1016/j.physa.2023.128606 Rahmi, 2023, A fractional-order eco-epidemiological Leslie–Gower model with double Allee effect and disease in predator, Int J Differ Equ, 2023, 1 Bodine, 2017, Predator–prey dynamics with intraspecific competition and an Allee effect in the predator population, Lett Biomath, 4, 23, 10.30707/LiB4.1Bodine Adhikary, 2021, Bifurcations and hydra effects in Bazykin’s predator–prey model, Theor Popul Biol, 140, 44, 10.1016/j.tpb.2021.05.002 Mukherjee, 2020, Role of fear in predator–prey system with intraspecific competition, Math Comput Simul, 177, 263, 10.1016/j.matcom.2020.04.025 Lv, 2020, Stability and bifurcation in a single species logistic model with additive Allee effect and feedback control, Adv Differ Equ, 2020, 129, 10.1186/s13662-020-02586-0 Kumar, 2020, Impact of additive allee effect on the dynamics of an intraguild predation model with specialist predator, Int J Bifur Chaos, 30, 10.1142/S0218127420502399 Mandal, 2021, Additive Allee effect of top predator in a mathematical model of three species food chain, Energy, Ecol Environ, 6, 451, 10.1007/s40974-020-00200-3 Vinoth, 2021, Dynamical analysis of a delayed food chain model with additive Allee effect, Adv Differ Equ, 10.1186/s13662-021-03216-z Butt, 2022, Numerical analysis of Atangana-Baleanu fractional model to understand the propagation of a novel corona virus pandemic, Alex Eng J, 61, 7007, 10.1016/j.aej.2021.12.042 Toufik, 2017, New numerical approximation of fractional derivative with non-local and non-singular kernel: Application to chaotic models, Eur Phys J Plus, 132, 1, 10.1140/epjp/i2017-11717-0 Baleanu, 2018, On the nonlinear dynamical systems within the generalized fractional derivatives with Mittag–Leffler kernel, Nonlinear Dyn, 94, 397, 10.1007/s11071-018-4367-y Ghanbari, 2020, On approximate solutions for a fractional prey–predator model involving the Atangana–Baleanu derivative, Adv Differ Equ, 2020, 679, 10.1186/s13662-020-03140-8 Kuznetsov, 2004 Yang, 2022, Dynamical analysis of a delayed diffusive predator–prey model with additional food provided and anti-predator behavior, Mathematics, 10, 469, 10.3390/math10030469 Yang, 2022, A diffusive predator–prey model with generalist predator and time delay, AIMS Math, 7, 4574, 10.3934/math.2022255 Abdelouahab, 2012, Hopf bifurcation and chaos in fractional-order modified hybrid optical system, Nonlinear Dyn, 69, 275, 10.1007/s11071-011-0263-4