![]() Across food webs, a similar sub-linear scaling pattern emerges between total predator biomass and the combined biomass of all prey within a food web. more prey biomass supports proportionally less predator biomass. We find a consistent, sub-linear scaling pattern whereby predator biomass scales with the total biomass of their prey with a near ¾-power exponent within food webs - i.e. We test whether sub-linear scaling between predator and prey biomass (a potential signal of density-dependent processes) emerges within ecosystem types and across levels of biological organisation. Here, we address this shortcoming by characterising the biomass structure of 141 freshwater, marine and terrestrial food webs, spanning a broad gradient in community biomass. omnivory) that may govern community structure. J.The ratio of predator-to-prey biomass is a key element of trophic structure that is typically investigated from a food chain perspective, ignoring channels of energy transfer (e.g. Yadav, S., Kumar, V.: A prey–predator model and control of a nematodes pest using control in banana: Mathematical modeling and qualitative analysis. Yadav, S., Kumar, V.: Study of a prey-predator model with preventing crop pest using natural enemies and control. Van den Bosh, R., Messenger, P.S., Gutierrez, A.P.: An Introduction to Biological Control. Van Driesche, R.G., Bellows, J.T.S.: Biological Control. Kumar, V., Srinivasan, B.: A novel adaptive mesh strategy for singularly perturbed parabolic convection diffusion problems. Kumar, V., Mehra, M.: Wavelet optimized finite difference method using interpolating wavelets for solving singularly perturbed problems. Thind, Singh, T.: Perspectives on crop protection in India. Sasmal, S.K., Mandal, D.S., Chattopadhyay, J.: A predator-pest model with Allee effect and pest culling and additional food provision to the predator-application to pest control. ![]() Published by Department of Agriculture & Cooperation, Govt. Report of a panel on the relationship between public exposure to pesticides and cancer. Ritter, L.: For the ad hoc panel on pesticides and cancer. ![]() Rafikov, M., Balthazar, J.M., von Bremen, H.F.: Mathematical modeling and control of population systems: applications in biological pest control. Gordon and Breach Science Publishers (1986) Pontryagin, L.S., Boltyanskii, V.G., Gamkrelidze, R.V., Mishchenko, E.F.: The Mathematical Theory of Optimal Processes. Nassir, S.A.L.: The dynamics and optimal control of a prey-predator system. McCalmont, J.P., Hastings, A., McNamara, N.P., Richter, G.M., Robson, P., Donnison, I.S., Clifton, B.J.: Environmental costs and benefits of growing Miscanthus for bioenergy in the UK. Mehra, M., Kumar, V.: Fast wavelet-Taylor Galerkin method for linear and non-linear wave problems. Mehra, M., Mallik, R.K.: Solutions of differential difference equations arising from mathematical models of granulocytopoiesis. Mathematical and Computational Biology Series. Lenhart, S., Workman, J.T.: Optimal Control Applied to Biological Models. Kant, S., Kumar, V.: Analysis of an eco–epidemiological model with migrating and refuging prey. Kar, T.K., Batabyal, A.: Stability analysis and optimal control of an SIR epidemic model with vaccination. 2(1), 1–12 (2009)įleming, W.H., Rishel, R.W.: Deterministic and Stochastic Optimal Control. 23, 11–20 (1997)Īktar, M.W., Sengupta, D., Chowdhury, A.: Impact of pesticides use in agriculture: their benefits and hazards. 217, 8778–8792 (2011)ĭanca, M., Codreanu, S., Bako, B.: Detailed analysis of a nonlinear prey–predator model. ![]() Ginn, Boston (1982)Ĭhakraborty, K., Chakraborty, M., Kar, T.: Optimal control of Harvest and bifurcation of a prey–predator model with stage structure. 52, 437–457 (2017)Īrora, C., Kumar, V.: Dynamics of a high-dimensional stage-structured prey-predator model. Chaos, Solitons Fractals 146, 110869 (2021)Īnguelov, R., Dufourd, C., Dumont, Y.: Mathematical model for pest-insect control using mating disruption and trapping. 461, 59–67 (2019)Ībraha, T., Basir, F.A., Obsu, L.L., Torres, D.F.M.: Pest control using farming awareness: impact of time delays and optimal use of biopesticides. Al Basir, F., Banerjee, A., Ray, S.: Role of farming awareness in crop pest management-a mathematical model. ![]()
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