This work is licensed under the Creative Commons Attribution 4.0 International License.
Ramdhani V., Jaharuddin, Nugrahani E.H., Dynamical system of modelling the depletion of forestry resources due to crowding by industrialization, Applied Mathematical Sciences, 9(82), 4067-4079, 2015.Search in Google Scholar
Repetto R., Holmes T., The role of population in resource depletion in developing countries, Population and Development Review, 9(4), 609-632, 1983.Search in Google Scholar
Dubey B., Narayanan A.S., Modelling effects of industrialization, population and pollution on a renewable resource, Nonlinear Analysis: Real World Applications, 11(4), 2833-2848, 2010.Search in Google Scholar
Dubey B., Upadhyay R.K., Hussain J., Effects of industrialization and pollution on resource biomass: a mathematical model, Ecological Modelling, 167(1-2), 83-95, 2003.Search in Google Scholar
Shukla J.B., Dubey B., Modelling the depletion and conservation of forestry resources: effects of population and pollution, Journal of Mathematical Biology, 36, 71-94, 1997.Search in Google Scholar
Teru A.H., Koya P.R., Mathematical modelling of deforestation of forested area due to lack of awareness of human population and its conservation, Mathematical Modelling and Applications, 5(2), 94-104, 2020.Search in Google Scholar
Kumar P., Dipesh, Effect of time delay on dynamic of plant competition under allelopathy, Mathematical Methods in the Applied Sciences, 45(16), 9308-9321, 2022.Search in Google Scholar
Kumar P., Dipesh, Effect of time-lag on two mutually competing plant populations under allelochemicals, Journal of Physics: Conference Series, 2267(1), 012019, 2022.Search in Google Scholar
Dipesh, Kumar P., Investigating the impact of toxicity on plant growth dynamics through the zero of a fifth-degree exponential polynomial: A mathematical model using DDE, Chaos Solitons and Fractals, 171(113457), 2023.Search in Google Scholar
Dipesh, Kumar P., Delay differential equation model of forest biomass and competition between wood-based industries and synthetic-based industries, Mathematical Methods in the Applied Sciences, 46(9), 10602-10616, 2023.Search in Google Scholar
Hallam T.G., Clark C.E., Jordan G.S., Effects of toxicants on populations: A qualitative approach II. first order kinetics, Journal of Mathematical Biology, 18, 25-37, 1983.Search in Google Scholar
Hallam T.G., Clark C.E., Lassiter R.R., Effects of toxicants on populations: A qualitative approach I. Equilibrium environmental exposure, Ecological Modelling, 18(3-4), 291-304, 1983.Search in Google Scholar
Hallam T.G., De Luna J.T., Effects of toxicants on populations: A qualitative: approach III. Environmental and food chain pathways, Journal of Theoretical Biology, 109(3), 411-429, 1984.Search in Google Scholar
Panja P., Is the forest biomass a key regulator of global warming?: A mathematical modelling study, Geology Ecology and Landscapes, 6(1), 66-74, 2022.Search in Google Scholar
Zhou X., Yang M., Liu Z., Li P., Xie B., Peng C., Dynamic allometric scaling of tree biomass and size, Nature Plants, 7(1), 42-49, 2021.Search in Google Scholar
Leslie P.H., Some further notes on the use of matrices in population mathematics, Biometrika, 35(3/4), 213-245, 1948.Search in Google Scholar
Chen L., Chen F., Global stability of a Leslie-Gower predator-prey model with feedback controls, Applied Mathematics Letters, 22(9), 1330-1334, 2009.Search in Google Scholar
Zhang N., Chen F., Su Q., Wu T., Dynamic behaviors of a harvesting Leslie-Gower predator-prey model, Discrete Dynamics in Nature and Society, 2011(473949), 1-15, 2011.Search in Google Scholar
Ruan S., Absolute stability, conditional stability and bifurcation in Kolmogorov-type predator-prey systems with discrete delays, Quarterly of Applied Mathematics, 59(1), 159-173, 2001.Search in Google Scholar
Hassard B.D., Kazarinoff N.D., Wan Y.H., Theory and applications of Hopf bifurcation, Cambridge University Press, 1-311, 1981.Search in Google Scholar
Saltelli A., Tarantola S., Campolongo F., Ratto M., Sensitivity analysis in practice: a guide to assessing scientific models, Wiley, USA, 1-232, 2004.Search in Google Scholar
Wu F.C., Tsang Y.P., Second-order monte carlo uncertainty/variability analysis using correlated model parameters: application to salmonid embryo survival risk assessment, Ecological Modelling, 177(3-4), 393-414, 2004.Search in Google Scholar
Akinyemi L., Akpan U., Veeresha P., Rezazadeh H., Inc M., Computational techniques to study the dynamics of generalized unstable nonlinear Schrödinger equation, Journal of Ocean Engineering and Science, DOI:10.1016/j.joes.2022.02.011, 2022.Search in Google Scholar
Ilhan E., Veeresha P., Baskonus H.M., Fractional approach for a mathematical model of atmospheric dynamics of CO2 gas with an efficient method, Chaos Solitons and Fractals, 152(111347), 1-16, 2021.Search in Google Scholar
Akinyemi L., Veeresha P., Ajibola S.O., Numerical simulation for coupled nonlinear Schrödinger-Korteweg-de Vries and Maccari systems of equations, Modern Physics Letters B, 35(20), 2150339, 2021.Search in Google Scholar
Gao W., Veeresha P., Cattani C., Baishya C., Baskonus H.M., Modified predictor-corrector method for the numerical solution of a fractional-order SIR model with 2019-nCoV, Fractal and Fractional, 6(2), 92, 2022.Search in Google Scholar
Chaudhary M., Dhar J., Misra O.P., A mathematical model for the conservation of forestry biomass with an alternative resource for industrialization: a modified Leslie Gower interaction, Modeling Earth Systems and Environment, 1(43), 1-10, 2015.Search in Google Scholar
Rihan F.A., Sensitivity analysis for dynamic systems with time-lags, Journal of Computational and Applied Mathematics, 151(2), 445-462, 2003.Search in Google Scholar
Thomaseth K., Cobelli C., Generalized sensitivity functions in physiological system identification, Annals of Biomedical Engineering, 27, 607-616, 1999.Search in Google Scholar