Mathematical Modeling Applied to Sustainable Management of Marine Resources

Biswas, Md. Haider Ali; Hossain, Rajib; Mondal, Mitun Kumar

doi:10.1016/j.proeng.2017.08.154

Cited by 16 publications

(10 citation statements)

References 13 publications

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“…In the analytical section, we perform the positivity test of the dynamical variables, stability analysis at equilibrium points, and numerical simulation [12]- [14].…”

Section: Analytical Analysismentioning

confidence: 99%

Modeling the Impact of Carbon Dioxide on Marine Plankton

2020

International Journal of Mathematics and Computers in Simulation

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Marine plankton is the main absorber of environmental carbon dioxide. According to scientists, the marine plankton not only absorbs approximately 30-50% carbon dioxide but also supplies about 70% oxygen of the atmosphere. Carbon dioxide helps the marine plankton to carry on the photosynthetic activity which promotes the growth of the planktonic population. As a result, the increasing plankton absorbs more saturated carbon dioxide and supplies more oxygen. In this article, a mathematical model has been proposed to describe the contribution of carbon dioxide on marine plankton. We have analyzed the model both analytically and numerically. The study discloses natural behaviors along with mathematical modeling.

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“…In the analytical section, we perform the positivity test of the dynamical variables, stability analysis at equilibrium points, and numerical simulation [12]- [14].…”

Section: Analytical Analysismentioning

confidence: 99%

Modeling the Impact of Carbon Dioxide on Marine Plankton

2020

International Journal of Mathematics and Computers in Simulation

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“…From the literature discussed above and to the best of our views, a model for the cultivation of black tiger prawn was proposed and the work of Biswas et al [1] was extended in this study. The dynamics of single species fishery in reserved and unreserved zone were discussed in the work but the effect of predation that the species might face in the unreserved zone were not studied.…”

Section: Introductionmentioning

confidence: 98%

“…It is mainly used to describe the real phenomena leading to design better prediction, prevention, management and control techniques. Several well documented mathematical models regarding real life problems can be found in [1][2][3][4][5][6][7].…”

Section: Introductionmentioning

confidence: 99%

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Mathematical modeling applied to renewable fishery management

Khatun¹,

Biswas²

2019

MMEP

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Nowadays, controlling dynamics of renewable resources such as fishery and forestry is the major environmental challenge. In this regard, this research study was aimed to find the facile tool by using mathematical modeling to study and monitor the dynamics of the system consisting of two regions: one is reserved region and the other is unreserved region. Holling type II functional response is considered to formulate the model. The boundedness of the solution of the model is discussed. The model has been analyzed by finding the existence of equilibrium points and also the conditions of stability and instability of the system has been derived. Finally, the reliability of the analytical model was confirmed with the numerical simulations.

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“…La información de datos sobre la calidad de los ecosistemas acuáticos permite su modelación (Yanagimoto, 2003) y de esta forma, establecer control de estrategias relacionada con la evolución de mecanismos en el tiempo (Ali, Hossain & Kumar, 2017). Biswas, Rahman & Haque (2016) estudiaron los impactos potenciales del cambio climático global en Bangladesh mientras que Biswas (2014) desarrolló un modelo matemático para describir la transmisión del virus Nipah.…”

Section: Introductionunclassified

Demostración didáctica del teorema de flujo tubular en la solución de ecuaciones diferenciales autónomas para modelar contaminantes ambientales

Mamani

Mendoza

Pérez³

2019

Campus

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Demostración didáctica del teorema de flujo tubular en la solución de ecuaciones diferenciales autónomas para modelar contaminantes ambientales rEsumEnEl propósito del estudio fue la demostración didáctica del teorema del flujo tubular en solución de ecuaciones diferenciales autónomas para modelar contaminantes ambientales. Se aplicó métodos de investigación con enfoque cuantitativo, teóricos como el analítico-sintético, así como el inductivo-deductivo. La relación establecida fue entre el campo vectorial, teoría cualitativa de las ecuaciones diferenciales autónomas, conjugación topológica y foliaciones. Se demostró la conjugación topológica entre un campo vectorial diferenciable y un campo constante no nulo. El teorema del flujo tubular demostró el comportamiento de las soluciones del sistema de trayectorias que conjeturan sobre la vecindad de un punto regular, es decir, un punto que no anula al campo vectorial el cual define la ecuación diferencial autónoma. La demostración didáctica sobre el teorema del flujo tubular proporcionó el comportamiento geométrico local de las órbitas de un campo vectorial en la vecindad de un punto regular.Palabras clave: teorema del flujo tubular, ecuaciones diferenciales autónomas no lineales, sección transversal, punto regular, conjugación topológica, campo vectorial aBstraCt The purpose of the study was the didactic demonstration of the tubular flow theorem in solving autonomous differential equations to model environmental pollutants. We applied research methods with a quantitative approach, theoretical as analytical-synthetic, as well as inductive-deductive. The relationship established was between the vector field, qualitative theory of autonomous differential equations, topological conjugation and foliations. The topological conjugation between a differentiable vector field and a nonzero constant field was demonstrated. The tubular flow theorem showed the behavior of the system solutions of trajectories that conjecture about the neighborhood of a regular point, that is, a point that does not cancel the vector field which defines the autonomous differential equation. The didactic demonstration of the tubular flow theorem gave the local geometric behavior of the orbits of a vector field in the vicinity of a regular point.

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Mathematical Modeling Applied to Sustainable Management of Marine Resources

Cited by 16 publications

References 13 publications

Modeling the Impact of Carbon Dioxide on Marine Plankton

Modeling the Impact of Carbon Dioxide on Marine Plankton

Mathematical modeling applied to renewable fishery management

Demostración didáctica del teorema de flujo tubular en la solución de ecuaciones diferenciales autónomas para modelar contaminantes ambientales

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