Population Dynamics

A Mathematical Analysis of Hydra

Abstract Hydrae present interesting physical properties, chemical properties and finally, mathematical properties. This organism may not be able to consciously make any computations, but that does not mean that mathematics cannot be used to model behaviors of this organism and gain a greater understanding of how it functions. The goal

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An Investigation into the Mathematical Modeling of the Properties of Gonium

ABSTRACT  The multicellular algae of genus Gonium have been shown to be a remarkable feat of evolution. It can be difficult to fully appreciate the colonial algae’s ingenuity when only observing the organism. By attempting to model their behaviour, insight into the beauty of their design can be gained in

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Deciphering Daphnia Dynamics: A Mathematical Odyssey into Aquatic Ecosystems

Abstract Amongst all the chaos found in aquatic ecosystems, Daphnia emerges as a small yet pivotal player, embodying the complexity and adaptability of life. This study presents a mathematical journey into Daphnia populations, revealing the sophisticated interplay between their unique reproductive strategies, survival tactics, and trophic interactions. Cyclical parthenogenesis, a

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Shaping Success: A Mathematical Exploration of Cyanobacteria across Scales

ABSTRACT Mathematical models and functions are familiar tools used to study biological systems and interactions, in particular with the study of infectious diseases. Epidemic and pandemic dynamics, however, are only one example of their applications for adding analysis, understanding, and insight into complex topics. In this essay, cyanobacteria’s size and

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Exploring the Mathematics of Unicellular Green Algae (Chlamydomonas Reinhardtii)

Mathematics could be described as an area of knowledge involving the use of numbers, equations, and models to describe phenomena, but at its essence, mathematics is the language of the universe. Accordingly, every aspect of the natural world is governed by this “language,” and with each passing day, humanity draws…

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Mathematical Marine Models of Coral Polyps

While coral polyps have been extensively studied across various scientific perspectives, this paper will explore them from a Mathematical perspective. Coral’s spontaneous growth pattern was mathematically modelled and explained from a polyp-oriented perspective, showing how polyps contribute to growth patterns. Moreover, corals are heavily reliant on their environment which contributes…

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Mathematical Modelling of Dinoflagellate Swimming, Population Dynamics and Interactions with Other Organisms

Mathematical models have been made to determine the vertical migration of dinoflagellates while considering the availability of nitrogen. Studies have shown that low nitrogen abundances lead to dinoflagellates avoiding sunlight, and not performing diel vertical migration. Dinoflagellate blooms take place under specific conditions of irradiance, temperature, and salinity. A model…

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Exploring Aquatic Fungi Through Mathematical Tools

 The beauty of mathematics lies in its ability to create models to simplify complex things in real life and give explanations to them. Models are a great way to study and analyze species in nature and it is the same for aquatic fungi. Mathematical models also help us predict their…

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Population Dynamics for Mutualistic Relationships

Abstract Mathematics is increasingly present in various disciplines and especially in biology. Modeling in biology began to be used in population dynamics to model the growth of populations and the multiple interactions that may exist between them. There are many different types of models that can be constructed, with various

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The Gravity of Connectivity in Migratory Birds During a Climate Emergency

Abstract All populations form networks which describe their interactions, mixing and mating. Migratory populations also form networks, but these are much more complex because of the continuously migrating populations throughout the seasons. Migratory networks are more fragile but are a fundamental pillar to bird populations. They can aid populations but

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Courtship and Mating Within Evolutionary Game

Abstract In this essay, we investigated methods of mathematical modeling which can be utilized to describe evolutionary game theory. An organism’s evolutionary fitness is defined by their ability to pass their genes on to their offspring. Without effective courting and mating practices, it is impossible to find quality mates and

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