An individual-based model for studying the aggregation behavior in phytoplankton

Saadi, Nadjia El; Bah, Alassane

doi:10.1016/j.ecolmodel.2007.01.003

Cited by 17 publications

(9 citation statements)

References 50 publications

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“…Meanwhile, the spatial correlation of both the susceptible preys and predators using JCS increased with the increase in habitat loss, which confirms that a highly aggregated distribution of species is a common behavioral strategy when dealing with habitat loss or other environmental stresses (Woodcock et al, 2002;Westerberg et al, 2005). Studies of Diptera communities breeding in fallen fruits, as well as the predator-prey model of some agricultural and phytoplankton systems further support this conclusion (Sevenster and Van Alphen, 1993;Bommarco et al, 2007;El Saadi and Bah, 2007).…”

Section: Discussionmentioning

confidence: 54%

How does the spatial structure of habitat loss affect the eco-epidemic dynamics?

Hui

Zhang

et al. 2009

Ecological Modelling

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Habitat loss is considered as one of the primary causes of species extinction, especially for a species that also suffers from an epidemic disease. Little attention has been paid to the combined effect of habitat loss and epidemic transmission on the species spatiotemporal dynamics. Here, a spatial model of the parasite-host/prey-predator eco-epidemiological system with habitat loss was studied. Habitat patches in the model, instead of undergoing a random loss, were spatially clustered by different degrees. Not only the quantity of habitat loss but also its clustering degree was shown to affect the equilibrium of the system.The infection rate and the probability of successful predation were keys to determine the spatial patterns of species. The epidemic disease is more likely to break out if only a small amount of suitable patches were lost. Counter-intuitively, infected preys are more sensitive to habitat loss than predators if the lost patches are highly clustered. This result is new to eco-epidemiology and implies a possibility of using spatial arrangement of suitable (or unsuitable) patches to control the spread of epidemics in the ecological system.

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Section: Discussionmentioning

confidence: 54%

How does the spatial structure of habitat loss affect the eco-epidemic dynamics?

Hui

Zhang

et al. 2009

Ecological Modelling

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“…Later, several authors investigated aggregation for formation of polymers [2], aerosols [3], or food and material processing [4,5]. In the last two decades, aggregation has * e-mail: lepek@if.pw.edu.pl been applied to a broad range of interdisciplinary topics, including percolation phenomena in random graphs and complex networks [7][8][9][10][11][12], pattern formation [14][15][16][17], and population genetics [13]. Recently, some physiological processes were modeled using aggregation formalism [18,19].…”

Section: Introductionmentioning

confidence: 99%

How initial condition impacts aggregation -- a systematic numerical study

Łepek¹

2021

Preprint

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In a process of aggregation, a finite number of particles merge irreversibly to create growing clusters. In this work, impact of particular initial conditions: monodisperse, power-law, exponential, and inspired by condensation nuclei was tested against several aggregation processes: constant, additive, product, electrorheological, anti-social, Berry's, Brownian, shear, and gravitational kernels. Coagulating systems consisting of a thousand monomers were observed in the late time of the evolution, for the moment when only fifty clusters were left in the system. In this way, the impact of particular initial condition was revealed in relation to other initial conditions. Several similarities between different kernels were observed, among others, strong correspondence between the constant and the Brownian kernel was confirmed. In case of the product kernel, unexpected behaviour related to the condensation nuclei initial conditions was revealed and explained. According to the results, it is doubtful that a phase transition can be triggered by appropriate setting of initial condition.

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“…For decades, they were extensively investigated in several fields [1][2][3][4][5][6][7][8][9][10]. A broad range of interdisciplinary applications can be found, including percolation phenomena in random graphs and complex networks [11][12][13][14][15][16], population genetics [17], pattern formation in social [18,19], biological [20], and man-made systems [21]. Several technological applications are based on coagulation, including formation of polymers [22], food processing [23], material processing [24,25], and water treatment [26,27].…”

Section: Introductionmentioning

confidence: 99%

Coalescense with arbitrary-parameter kernels and monodisperse initial conditions: A study within combinatorial framework

Łepek,

Fronczak,

Fronczak

2020

Preprint

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For this work, we studied a finite system of discreet-size aggregating particles for two types of kernels with arbitrary parameters, a condensation (or branched-chain polymerization) kernel, K(i, j) = (A + i)(A + j), and a linear combination of the constant and additive kernels, K(i, j) = A + i + j. They were solved under monodisperse initial conditions in the combinatorial approach where discreet time is counted as subsequent states of the system. A generating function method and Lagrange inversion were used for derivations. Expressions for an average number of clusters of a given size and its corresponding standard deviation were obtained and tested against numerical simulation. High precision of the theoretical predictions can be observed for a wide range of A and coagulation stages, excepting post-gel phase in the case of the condensation kernel (a giant cluster presence is preserved). For appropriate A, these two kernels reproduced known results of the constant, additive and product kernels. Beside a previously solved linear-chain kernel, they extend the number of arbitrary-parameter kernels solved in the combinatorial approach.

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An individual-based model for studying the aggregation behavior in phytoplankton

Cited by 17 publications

References 50 publications

How does the spatial structure of habitat loss affect the eco-epidemic dynamics?

How does the spatial structure of habitat loss affect the eco-epidemic dynamics?

How initial condition impacts aggregation -- a systematic numerical study

Coalescense with arbitrary-parameter kernels and monodisperse initial conditions: A study within combinatorial framework

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