Visual analysis of nonlinear dynamical systems: chaos, fractals, self-similarity and the limits of prediction

G Boeing - Systems, 2016 - mdpi.com
Nearly all nontrivial real-world systems are nonlinear dynamical systems. Chaos describes
certain nonlinear dynamical systems that have a very sensitive dependence on initial …

Random variation in model parameters: A comprehensive review of stochastic logistic growth equation

MAU Karim, V Aithal, AR Bhowmick - Ecological Modelling, 2023 - Elsevier
Biological growth curves are central to interdisciplinary research that seeks to improve our
understanding of natural processes. Applications of growth equations are widespread …

Optimal harvesting of prey–predator system with interval biological parameters: a bioeconomic model

D Pal, GS Mahaptra, GP Samanta - Mathematical biosciences, 2013 - Elsevier
The paper presents the study of one prey one predator harvesting model with imprecise
biological parameters. Due to the lack of precise numerical information of the biological …

A bioeconomic modeling of two-prey and one-predator fishery model with optimal harvesting policy through hybridization approach

D Pal, GS Mahapatra - Applied Mathematics and Computation, 2014 - Elsevier
This paper introduces an imprecise prey–predator model by using interval and fuzzy number
in modeling of prey and predator interaction. In a prey–predator system, values of the …

Optimal harvesting of a stochastic mutualism model with regime-switching

M Liu, C Bai - Applied Mathematics and Computation, 2020 - Elsevier
This article researches optimal harvesting strategy (OHS) of a two-species stochastic Lotka–
Volterra mutualism model with regime-switching. Traditional approach needs an additional …

Optimal harvesting of a stochastic mutualism model with Lévy jumps

M Liu, C Bai - Applied Mathematics and Computation, 2016 - Elsevier
In this letter, a stochastic mutualism model with Lévy jumps and harvesting is considered.
Under some simple assumptions, sufficient and necessary criteria for the existence of …

Dynamics of a stochastic delay competitive model with harvesting and Markovian switching

M Liu, J Yu, PS Mandal - Applied Mathematics and Computation, 2018 - Elsevier
This work is concerned with a two-species stochastic state-switching competitive population
model with distributed delays and harvesting. First, necessary and sufficient criteria for the …

Optimal harvesting of a two species competition model with imprecise biological parameters

S Sharma, GP Samanta - Nonlinear Dynamics, 2014 - Springer
In this paper a two competing species harvesting model with imprecise biological
parameters has been developed. We have developed a method to handle these imprecise …

[HTML][HTML] Optimal harvesting of a competitive n-species stochastic model with delayed diffusions

F Zhu, X Meng, T Zhang - Mathematical Biosciences and …, 2019 - aimspress.com
In this study, we propose an n-species stochastic model which considers the influences of
the competitions and delayed diffusions among populations on dynamics of species. We …

Optimal harvesting policy of logistic population model in a randomly fluctuating environment

B Yang, Y Cai, K Wang, W Wang - Physica A: Statistical Mechanics and Its …, 2019 - Elsevier
In this paper, we investigate the optimal harvest policy of a stochastic logistic population
model. The value of this study lies in two aspects: mathematically, we establish a stochastic …