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

Ali Ozyapici and Bülent Bilgehan

Applied Mathematics and Computation, 2018, vol. 338, issue C, 722-732

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.

Keywords: Trial equation method; Nonlinear system differential equations; Ebola virus; SIR; Lotka–Volterra (search for similar items in EconPapers)
Date: 2018
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:338:y:2018:i:c:p:722-732

DOI: 10.1016/j.amc.2018.06.020

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