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Generalized system of trial equation methods and their applications to biological systems

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  • Ozyapici, Ali
  • Bilgehan, Bülent

Abstract

It is shown that many systems of nonlinear differential equations of interest in various fields are naturally embedded in a new family of differential equations. In this paper, we improve new and effective methods for nonautonomous systems and they produce new exact solutions to some important biological systems. The exact solution of predator and prey population for different particular cases has been derived. The numerical examples show that new exact solutions can be obtained for many biological systems such as SIR model, Lotka–Volterra model. The methods perform extremely well in terms of efficiency and simplicity to solve this historical biological models.

Suggested Citation

  • Ozyapici, Ali & Bilgehan, Bülent, 2018. "Generalized system of trial equation methods and their applications to biological systems," Applied Mathematics and Computation, Elsevier, vol. 338(C), pages 722-732.
    • Handle: RePEc:eee:apmaco:v:338:y:2018:i:c:p:722-732
    DOI: 10.1016/j.amc.2018.06.020
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    References listed on IDEAS

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    1. Amira Rachah & Delfim F. M. Torres, 2015. "Mathematical Modelling, Simulation, and Optimal Control of the 2014 Ebola Outbreak in West Africa," Discrete Dynamics in Nature and Society, Hindawi, vol. 2015, pages 1-9, May.
    2. Yusuf Pandir & Yusuf Gurefe & Emine Misirli, 2013. "The Extended Trial Equation Method for Some Time Fractional Differential Equations," Discrete Dynamics in Nature and Society, Hindawi, vol. 2013, pages 1-13, June.
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