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Gudermannian neural networks using the optimization procedures of genetic algorithm and active set approach for the three-species food chain nonlinear model

Zulqurnain Sabir, +2 more
- 18 Jan 2022 - 
- Vol. 14, Iss: 7, pp 8913-8922
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TLDR
In this article , the authors investigated the GNNs using the optimization procedures of genetic algorithm and active set approach (GA-ASA) to solve the three-species food chain nonlinear model.
Abstract
The present study is to investigate the Gudermannian neural networks (GNNs) using the optimization procedures of genetic algorithm and active-set approach (GA-ASA) to solve the three-species food chain nonlinear model. The three-species food chain nonlinear model is dependent upon the prey populations, top-predator, and specialist predator. The design of an error-based fitness function is presented using the sense of the three-species food chain nonlinear model and its initial conditions. The numerical results of the model have been obtained by exploiting the GNN-GA-ASA. The obtained results through the GNN-GA-ASA have been compared with the Runge–Kutta method to substantiate the correctness of the designed approach. The reliability, efficacy and authenticity of the proposed GNN-GA-ASA are examined through different statistical measures based on single and multiple neurons for solving the three-species food chain nonlinear model.

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References
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Journal ArticleDOI

The properties of a stochastic model for the predator-prey type of interaction between two species

P. H. Leslie, +1 more
- 01 Dec 1960 - 
TL;DR: In this article, the authors considered the properties of a model for the interaction between a predator and its prey in a stochastic setting, more particularly in regard to the behaviour of such systems in the region of the stationary state, and the chances of random extinction for one or other of the two competing species.
Journal ArticleDOI

Global stability and persistence of simple food chains

TL;DR: In this article, the main purpose of the paper is to develop criteria for which a simple food-chain model of intermediate type and of arbitrary length has a globally stable positive equilibrium and under which such a food chain exhibits uniform persistence.
Journal ArticleDOI

Mathematical analysis of some three-species food-chain models

TL;DR: In this paper, a general model for the persistence of all species in a three-level food chain is introduced and the equilibria analyzed, and boundedness and stability criteria are established.
Journal ArticleDOI

Study of a Leslie–Gower-type tritrophic population model

TL;DR: In this article, a tritrophic food chain model based on a modified version of the Leslie-Gower scheme is considered, and theorems on boundedness of the system, existence of an attracting set, existence and local or global stability of equilibria which represent the extinction of the top or intermediate predator are established.

Remarks on food chain dynamics

TL;DR: In this paper, the main modes of behavior of a food chain model, composed of logistic prey and Holling type II predator and superpredator, are discussed through bifurcation analysis, alternating between a normal form approach and numerical continuation.
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