Brauer, F., Castillo-Chvez, C.: Mathematical Models in Population Biology and Epidemiology. Springer, New York (2001)
Cresswell, W.: Predation in bird populations. J. Ornithol. 152(S1), 251–263 (2011)
Jia, D., Zhang, T., Yuan, S.: Pattern dynamics of a diffusive toxin producing phytoplankton-zooplankton model with three-dimensional patch. Int. J. Bifurc. Chaos 29, 1930011 (2019)
Xia, Y., Yuan, S.: Survival analysis of a stochastic predator-prey model with prey refuge and fear effect. J. Biol. Dyn. 14(1), 871–892 (2020)
Creel, S., Christianson, D.: Relationships between direct predation and risk effects. Trends Ecol. Evol. 23, 194–201 (2008)
Lima, S.L.: Nonlethal effects in the ecology of predator-prey interactions. Bioscience 48, 25–34 (1998)
Lima, S.L.: Predators and the breeding bird: behavioural and reproductive flexibility under the risk of predation. Biol. Rev. 84, 485–513 (2009)
Creel, S., Christianson, D., Liley, S., Winnie, J.A.: Predation risk affects reproductive physiology and demography of elk. Science 315, 960 (2007)
Peacor, S.D., Peckarsky, B.L., Trussell, G.C., Vonesh, J.R.: Costs of predator-induced phenotypic plasticity: a graphical model for predicting the contribution of nonconsumptive and consumptive effects of predators on prey. Oecologia 171, 1–10 (2013)
Preisser, E.L., Bolnick, D.I.: The many faces of fear: comparing the pathways and impacts of nonconsumptive predator effects on prey populations. PLoS ONE 3, e2465 (2008)
Pettorelli, N., Coulson, T., Durant, S.M., Gaillard, J.M.: Predation, individual variability and vertebrate population dynamics. Oecologia 167, 305–314 (2011)
Zanette, L.Y., White, A.F., Allen, M.C., Clinchy, M.: Perceived predation risk reduces the number of offspring songbirds produce per year. Science 334, 1398–1401 (2011)
DeAngelis, D.L., Goldstein, R.A., O’Neill, R.V.: A model for tropic interaction. Ecology 56, 881–892 (1975)
Beddington, J.R.: Mutual interference between parasites or predators and its effect on searching efficiency. J. Anim. Ecol. 44, 331–340 (1975)
Pal, S., Majhi, S., Mandal, S., Pal, N.: Role of fear in a predator-prey model with Beddington–DeAngelis functional response. Z. Naturforsch. A 74(7), 581–595 (2019)
Han, R., Guin, L.N., Dai, B.: Consequences of refuge and diffusion in a spatiotemporal predator-prey model. Nonlinear Anal., Real World Appl. 60, 103311 (2021)
Sarkar, K., Khajanchi, S.: Impact of fear effect on the growth of prey in a predator-prey interaction model. Ecol. Complex. 42, 100826 (2020)
Roy, J., Alam, S.: Fear factor in a predator-prey system in deterministic and stochastic environment. Phys. A, Stat. Mech. Appl. 541, 123359 (2020)
Meng, L., Ke, W.: Population dynamical behavior of Lotka–Volterra cooperative systems with random perturbations. Discrete Contin. Dyn. Syst., Ser. A 33(6), 2495–2522 (2013)
Mao, X., Li, X.: Population dynamical behavior of non-autonomous Lotka–Volterra competitive system with random perturbation. Discrete Contin. Dyn. Syst. 24, 523–545 (2009)
Ji, C., Jiang, D.Q., Shi, N.Z.: Analysis of a predator-prey model with modified Leslie–Gower and Holling-type II schemes with stochastic perturbation. J. Math. Anal. Appl. 359, 482–489 (2009)
Jiang, D.Q., Shi, N.Z., Li, X.Y.: Global stability and stochastic permanence of a non-autonomous logistic equation with random perturbation. J. Math. Anal. Appl. 340, 588–597 (2008)
Durrett, H.: Stochastic Calculus: A Practical Introduction, Probability Stochastics, 1st edn. CRC Press, Boca Raton (1996)
Liu, Q., Jiang, D., Shi, N., Hayat, T., Alsaedi, A.: Stochastic mutualism model with Lévy jumps. Commun. Nonlinear Sci. Numer. Simul. 43, 78–90 (2017)
Guo, Y.: Stochastic regime switching SIR model driven by Lévy noise. Physica A 479, 1–11 (2017)
Bao, J., Mao, X., Yin, G., Yuan, C.: Competitive Lotka–Volterra population dynamics with jumps. Nonlinear Anal. 74, 6601–6616 (2011)
Scheffer, M., Carpenter, S., Foley, J.A., Folke, C.: Catastrophic shifts in ecosystems. Nature 413, 591–596 (2001)
Alley, R.B.: Abrupt climate change. Science 299, 2005–2010 (5615)
Zhou, Y., Yuan, S.: Threshold behavior of a stochastic SIS model with Lévy jumps. Appl. Math. Comput. 275, 255–267 (2016)
Zhao, Y., Yuan, S.: The effect of Lévy noise on the survival of a stochastic competitive model in an impulsive polluted environment. Appl. Math. Model. 40(17–18), 7583–7600 (2016)
Zhao, Y.: Stability in distribution of a stochastic hybrid competitive Lotka–Volterra model with Lévy jumps. Chaos Solitons Fractals 85, 98–109 (2016)
Kunita, H.: Itô’s stochastic calculus: its surprising power for applications. Stoch. Process. Appl. 120, 622–652 (2010)
Applebaum, H.: Lévy Processes and Stochastic Calculus, 2nd edn. Cambridge University Press, Cambridge (2009)
Liu, M., Wang, K., Wu, Q.: Survival analysis of stochastic competitive models in a polluted environment and stochastic competitive exclusion principle. Bull. Math. Biol. 73, 1969–2012 (2011)
Liptser, R.: A strong law of large numbers for local martingales. Stochastics 3, 217–228 (1980)
Cheng, H.: Stochastic population systems. Stoch. Anal. Appl. 27, 854–874 (2009)
Mao, X.: Stochastic versions of the LaSalle theorem. J. Differ. Equ. 153(1), 175–195 (1999)
Karatzas, I., Shreve, S.E.: Brownian Motion and Stochastic Calculus. Springer, Berlin (1991)
Friedman, A.: Stochastic Differential Equations and Their Applications. Academic Press, New York (1976)
Privault, N.: Stochastic SIR Lévy jump model with heavy-tailed increments. J. Nonlinear Sci. 31, 15 (2021)
Dannemann, T., Boyer, D.: Lévy flight movements prevent extinctions and maximize population abundances in fragile Lotka Volterra systems. Proc. Natl. Acad. Sci. 115(15), 3794–3799 (2018)