Agrawal AA (2000) Mechanisms, ecological consequences and agricultural implications of tri-trophic interactions. Plant Biol 3:329–335
Ballar CL, Mazza CA, Austin AT, Pierik R (2012) Canopy light andplant health. Plant Physiol 160:145–155
Bi HH, Zeng RS, Su LM, An M, Luo SM (2007) Rice allelopathy induced by methyl jasmonate and methyl salicylate. J Chem Ecol 33:1089–1103
Birkhoff G, Rota GC (1982) Ordinary differential equation. Ginn and Co., Boston
Blower SM, Dowlatabadi H (1994) Sensitivity and uncertainty analysis of complex models of disease transmission: an HIV model, as an example. Int Stat Rev 62:229–249
Cipollini D (2004) Stretching the limits of plasticity: can a plant defend against both competitors and herbivores? Ecology 8:2837
Cook SM, Khan ZR, Piekett JA (2007) The use of push-pull strategies in integrated pest management. Ann Rev Entomol 52:375–400
Copolovici L, Niinemets Ü (2016) Environmental impacts on plant volatile emission. In: Blande JD, Glinwood R (eds) Deciphering chemical language of plant communication. Springer, Cham, pp 35–60
Dicke M (1994) Local and systemic production of volatile herbivore-induced terpenoids: their role in plant–carnivore mutualism. J Plant Physiol 143:465–472
Dicke M (1999) Evolution of induced indirect defense of plants. In: Tollrian R, Harvell CD (eds) The ecology and evolution of inducible defenses. Princeton University Press, Princeton, pp 62–88
Dicke M, Baldwin IT (2010) The evolutionary context for herbivore-induced plant volatiles: beyond the “cry for help”. Trends Plant Sci 15:167–175
Dicke M, Sabelis MW (1988) How plants obtain predatory mites as bodygurds. Neth J Zool 38:148–165
Fang CX (2009) Analysis of gene expressions associated with increased allelopathy in rice (Oryza sativa L.) induced by exogenous salicylic acid. Plant Growth Regul 57:163172
Fergola P, Wang W (2011) On the influences of defensive volatiles of the plants in tritrophic interactions. J Biol Syst 19:345–363
Freedman HI, Waltman P (1984) Persistence in models of three interacting predator-prey populations. Math Biosci 68:213–231
Guerrieri E (2016) Who’s listening to talking plants? In: Blande JD, Glinwood R (eds) Deciphering chemical language of plant communication. Springer, Cham, pp 117–130
Heil M (2008) Indirect defence via tritrophic interactions. Tansley Rev 178:41–41
Herms DA, Mattson WJ (1992) The dilemma of plants: to grow or todefend. Q Rev Biol 67:283–335
Hilker M, Meiners T (2011) Plants and insect eggs: how do they affect eachother? Phytochemistry 72:1612–1623
Hummel GM (2009) Herbivore-induced jasmonic acid bursts in leaves of Nicotiana attenuata mediate short-term reductions in root growth. Plant Cell Environ 32:134–143
Karban R (2001) Communication between sagebrush and wild tobacco in the field. Biochem Syst Ecol 29:995–1005
Karban R et al (2004) The specificity of eavesdropping on sagebrush by other plants. Ecology 85:1846–1852
Karban R (2004) The specificity of eavesdropping on sagebrush by other plants. Ecology 85:1846–1852
Kegge W, Peirik R (2010) Biogenic volatile organic compounds and plant competition. Trends Plant Sci 15:126–132
Kigathi RN, Weisser WW, Veit D, Gershenzon J, Unsicker SB (2013) Plants suppress their emission of volatiles when growing with conspecifics. J Chem Ecol 39:537–545
Li MY, Muldowney J (1993) On Bendixon’s criterion. J Differ Equ 106:27–39
Liu YH, Zeng RS, Liu DL, Luo SM, Wu HW, An M (2006) Modelling dynamics of plant defence volatiles using the An–Liu–Johnson–Lovett model. Allelopath J 18:215–224
Liu YH, Liu DL, An M, Fu YL, Zeng RS, Luo SM, Wu H, Pratley J (2009) Modelling tritrophic interactions mediated by induced defence volatiles. Ecol Model 220:3241–3247
Marder M (2013) Plant intelligence and attention. Plant Signal Behav 8:e23902
Mithöfer A, Boland W (2012) Plant defense against herbivores: chemical aspects. Plant Biol 63:431–50
Mukherjee D (2018) Dynamics of defensive volatile of plant modeling tritrophic interactions. Int J Nonlinear Sci 25:76–86
Perko L (2000) Differential equations and dynamical systems, 3rd edn. Springer, Berlin
Pierik R, Visser EJH, de Kroon H, Voesenek L (2003) Ethylene is required in tobacco to successfully compete with proximate neighbours. Plant Cell Environ 26:1229–1234
Sobhy IS, Erb M, Lou Y, Turlings TCJ (2014) The prospect of applying chemical elicitors and plant strengtheners to enhance the biological control of crop pests. Philos Trans R Soc B 369:20120283
Staswick PE (1992) Methyl jasmonate inhibition of root-growth and induction of a leaf protein are decreased in an Arabidopsis thaliana mutant. Proc Natl Acad Sci USA 89:6837–6840
Sun C, Loreau M (2009) Dynamics of a three-species food chain model with adaptive traits. Chaos Solitons Fractals 41:2812–2819
Takabayashi J, Dicke M (1996) Plant–carnivore mutualism through herbivore-induced carnivore attractants. Trends Plant Science 1:109–113