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Unraveling the effects of increasing human population on CO2 level and crop yield: A study of deterministic and stochastic systems

Author

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  • Yadav, Akash
  • Jha, Anjali
  • Misra, A.K.

Abstract

Human-driven climate change, marked by rising CO2 emissions, threatens agriculture crop production by causing global warming. While a moderate increase in CO2 and temperature can initially enhance crop growth, exceeding critical thresholds disrupts photosynthesis, reduces leaf area, and shortens plant longevity, leading to decreased productivity. This study investigates the impacts of rising atmospheric CO2 level, temperature increase, and human population expansion on agricultural productivity through the formulation and analysis of a novel nonlinear mathematical model. Our model incorporates both deterministic and stochastic elements, revealing critical thresholds in CO2 emission and temperature tolerance that significantly affect crop yields. Stability analysis indicates that crop productivity remains viable below a certain emission threshold; however, exceeding the limit induces different kinds of bifurcations, such as saddle–node, Hopf, and Bogdanov–Takens bifurcations that lead to complex dynamics, including oscillations and reduction in crop yield. Additionally, the encroachment of arable land due to human activities further reduces the carrying capacity of crops, amplifying the adverse effects of climate change. Our findings suggest that government and agricultural policies should prioritize the development of crop varieties with enhanced temperature resilience to mitigate these impacts. By identifying optimal temperature ranges for crop growth and highlighting the interplay between emissions, land use, and climate factors, this research provides valuable insights for adaptation strategies in agriculture. Enhancing crop resilience to temperature fluctuations and developing sustainable agricultural practices can help safeguard food security and ecosystem’s stability in a changing climate.

Suggested Citation

  • Yadav, Akash & Jha, Anjali & Misra, A.K., 2026. "Unraveling the effects of increasing human population on CO2 level and crop yield: A study of deterministic and stochastic systems," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 240(C), pages 38-65.
    • Handle: RePEc:eee:matcom:v:240:y:2026:i:c:p:38-65
    DOI: 10.1016/j.matcom.2025.07.007
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    References listed on IDEAS

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    1. C. Le Mouël & A. Forslund, 2017. "How can we feed the world in 2050? A review of the responses from global scenario studies," European Review of Agricultural Economics, Oxford University Press and the European Agricultural and Applied Economics Publications Foundation, vol. 44(4), pages 541-591.
    2. Guo, Wenjuan & Cai, Yongli & Zhang, Qimin & Wang, Weiming, 2018. "Stochastic persistence and stationary distribution in an SIS epidemic model with media coverage," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 492(C), pages 2220-2236.
    3. A. Misra & Kusum Lata & J. Shukla, 2014. "Effects of population and population pressure on forest resources and their conservation: a modeling study," Environment, Development and Sustainability: A Multidisciplinary Approach to the Theory and Practice of Sustainable Development, Springer, vol. 16(2), pages 361-374, April.
    4. Basir, Fahad Al & Tiwari, Pankaj Kumar & Samanta, Sudip, 2021. "Effects of incubation and gestation periods in a prey–predator model with infection in prey," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 190(C), pages 449-473.
    5. Irwin, Scott & Good, Darrel, . "How Bad Was the 2012 Corn and Soybean Growing Season?," farmdoc daily, University of Illinois at Urbana-Champaign, Department of Agricultural and Consumer Economics, vol. 2.
    6. Mondal, Bapin & Ghosh, Uttam & Sarkar, Susmita & Tiwari, Pankaj Kumar, 2024. "A generalist predator–prey system with the effects of fear and refuge in deterministic and stochastic environments," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 225(C), pages 968-991.
    7. Mao, Xuerong & Marion, Glenn & Renshaw, Eric, 2002. "Environmental Brownian noise suppresses explosions in population dynamics," Stochastic Processes and their Applications, Elsevier, vol. 97(1), pages 95-110, January.
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