Combining impact of velocity, fear and refuge for the predator–prey dynamics

References

• B. Chakraborty and N. Bairagi, Complexity in a prey-predator model with prey refuge and diffusion, Ecol. Complex. 37 (2019), pp. 11–23.
   Web of Science ®Google Scholar
• L. Chen, F. Chen, and L. Chen, Qualitative analysis of a predator–prey model with holling type II functional response incorporating a constant prey refuge, Nonlinear Anal. Real World Appl. 11 (2010), pp. 246–252.
   Web of Science ®Google Scholar
• S. Creel and D. Christianson, Relationships between direct predation and risk effects, Trends Ecol. Evol. 23(4) (2008), pp. 194–201.
   PubMed Web of Science ®Google Scholar
• W. Cresswell, Predation in bird populations, J. Ornitho. 152(S1) (2011), pp. 251–263.
   Google Scholar
• B.K. Das, D. Sahoo, and G.P. Samanta, Impact of fear in a delay-induced predator-prey system with intraspecific competition within predator species, Math. Comput. Simul. 191 (2022), pp. 134–156.
   Web of Science ®Google Scholar
• A. Das and G.P. Samanta, Modeling the fear effect on a stochastic prey-predator system with additional food for the predator, J. Phys. A Math. Theor. 51(46) (2018), pp. 465601.
   Web of Science ®Google Scholar
• A. Das and G.P. Samanta, A prey-predator model with refuge for prey and additional food for predator in a fluctuating environment physica A, Stat. Mech. Appl. 538 (2020), pp. 122844.
   Web of Science ®Google Scholar
• A. Das and G.P. Samanta, Modelling the fear effect in a two-species predator–prey system under the influence of toxic substances, Rend. Del Circ. Mat. Di Palermo Ser. 2 70(3) (2021), pp. 1501–1526.
   Google Scholar
• P. Dutta, D. Sahoo, S. Mondal, and G. Samanta, Dynamical complexity of a delay-induced eco-epidemic model with Beddington–DeAngelis incidence rate, Math. Comput. Simul. 197 (2022), pp. 45–90.
   Web of Science ®Google Scholar
• J. Gerritsen and J.R. Strickler, Encounter probabilities and community structure in zooplankton a mathematical model, J. Fish. Board Can. 34(1) (1977), pp. 73–82.
   Google Scholar
• R. Glazner, J. Blennau, and A.R. Armitage, Mangroves alter predator-prey interactions by enhancing prey refuge value in a mangrove-marsh ecotone, J. Exp. Marine Biol. Ecol. 526 (2020), pp. 151336.
   Web of Science ®Google Scholar
• L. Ji and C. Wu, Qualitative analysis of a predator-prey model with constant-rate prey harvesting incorparating a constant prey refuge, Nonlinear Anal. Real World Appl. 11(4) (2010), pp. 2285–2295.
   Web of Science ®Google Scholar
• S. Khajanchi and S. Banerjee, Role of constant prey refuge on stage structure predator–prey model with ratio dependent functional response, Appl. Math. Comput. 314 (2017), pp. 193–198.
   Web of Science ®Google Scholar
• A. Kumar and B. Dubey, Modeling the effect of fear in a prey-predator system with prey refuge and gestation delay, Int. J. Bifurc. Chaos. 29(14) (2019), pp. 1950195.
   Web of Science ®Google Scholar
• S.L. Lima, Predators and the breeding bird behavioral and reproductive flexibility under the risk of predation, Bio. Rev. 84(3) (2009), pp. 485–513.
   PubMed Web of Science ®Google Scholar
• S. Mondal and G.P. Samanta, Impact of fear on a predator–prey system with prey-dependent search rate in deterministic and stochastic environment, Nonlinear. Dyn. 104(3) (2021), pp. 2931–2959.
   Web of Science ®Google Scholar
• S. Mondal and G. Samanta, A comparison study of predator–prey system in deterministic and stochastic environments influenced by fear and its carry-over effects, Eur. Phys. J. Plus 137(1) (2022), pp. 70.
   Web of Science ®Google Scholar
• S. Mondal, G.P. Samanta, and J.J. Nieto, Dynamics of a predator–prey population in the presence of resource subsidy under the influence of nonlinear prey refuge and fear effect, Complexity 2021 (2021), pp. 1–38.
   Web of Science ®Google Scholar
• D. Mukherjee and C. Maji, Bifurcation analysis of a holling type II predator–prey model with refuge, Chin. Phy. 65 (2020), pp. 153–162.
   Google Scholar
• S. Pal, N. Pal, and S. Samanta, Effect of hunting cooperation and fear in a predator–prey model, Ecol. Complex. 39 (2019), pp. 100770.
   Web of Science ®Google Scholar
• S. Pal, N. Pal, and S. Samanta, Fear effect in prey and hunting cooperation among predators in a Leslie–Gower model, Math. Biosci. Eng. 16(5) (2019), pp. 5146–5179.
   PubMed Web of Science ®Google Scholar
• L. Perko, Differential Equations and Dynamical Systems, Springer, New York, 2001.
   Google Scholar
• C.T. Ross and B. Winterhalder, Sit-and-wait versus active-search hunting: a behavioral ecological model of optimal search mode, J. Theor. Bio. 387 (2015), pp. 76–87.
   PubMed Web of Science ®Google Scholar
• J.S. Sadowski and E.D. Grosholz, Predator foraging mode controls the effect of antipredator behavior in a tritrophic model, Theor. Ecol. 12(4) (2019), pp. 531–544.
   Web of Science ®Google Scholar
• D. Sahoo and G.P. Samanta, Impact of fear effect in a two prey–one predator system with switching behaviour in predation, Differ. Equ. Dyn. Syst.,2021, pp. 1–23. doi:10.1007/s12591-021-00575-7.
   Web of Science ®Google Scholar
• S.K. Sasmal and Y. Takeuchi, Dynamics of a predator–prey system with fear and group defense, J. Math. Anal. Appl. 481(1) (2020), pp. 123471.
   Web of Science ®Google Scholar
• I. Scharf, E. Nulman, O. Ovadia, and A. Bouskila, Efficiency evaluation of two competing foraging modes under different conditions, Am. Nat. 168(3) (2006), pp. 350–357.
   PubMed Web of Science ®Google Scholar
• H. Wang, S. Thanarajah, and P. Gaudreau, Refuge-mediated predator-prey dynamics and biomass pyramids, Math. Biosci. 298 (2018), pp. 29–45.
   PubMed Web of Science ®Google Scholar
• X. Wang and X. Zou, Modeling the fear effect in predator–prey interactions with adaptive avoidance of predators, Bull. Math. Biol. 79(6) (2017), pp. 1325–1359.
   PubMed Web of Science ®Google Scholar
• X. Wang and X. Zou, Pattern formation of a predator–prey model with the cost of anti-predator behaviors, Math. Biosci. Eng. 15(3) (2017), pp. 775–805
   Web of Science ®Google Scholar
• Y. Xiao and L. Chen, Modelling and analysis of a predator–prey model with disease in the prey, Math. Biosci. 171 (1) (2001), pp. 59–82.
   PubMed Web of Science ®Google Scholar
• Z. Xiao and Z. Li, Stability analysis of a mutual interference predator–prey model with the fear effect, J. Appl. Sci. Eng. 22(2) (2019), pp. 205–211.
   Google Scholar
• Z. Xiao, Z. Li, and Z. Zhu, Hopf bifurcation and stability in a beddington-DeAngelis predator–prey model with stage structure for predator and time delay incorporating prey refuge, Open Math. 17(1) (2019), pp. 141–159.
   Google Scholar
• X. Xie, Y. Xue, and J. Chen, Permanence and global attractivity of a nonautonomous modified Leslie–Gower predator-prey model with holling-type II schemes and a prey refuge, Adv. Differ. Equ. 1 (2016), pp. 1–11.
   Google Scholar
• P. Yang, Hopf bifurcation of an age-structured prey-predator model with Holling type II functional response incorporating a prey refuge, Nonlinear Anal. RWA 49 (2019), pp. 368–385.
   Web of Science ®Google Scholar
• Q. Yue, Dynamics of a modified Leslie–Gower predator-prey model with Holling-type II schemes and a prey refuge, SpringerPlus 5(1) (2016), pp. 1–12.
   PubMedGoogle Scholar
• L.Y. Zanette, A.F. White, and M.C. Allen, Perceived predation risk reduces the number of offspring songbirds produce per year, Science 334(6061) (2011), pp. 1398–1401.
   PubMed Web of Science ®Google Scholar
• H. Zhang, Y. Cai, and S. Fu, Impact of the fear effect in a prey–predator model incorporating a prey refuge, Appl. Math. Comput. 356 (2019), pp. 46–66.
   Web of Science ®Google Scholar