Cooperation in species: Interplay of population regulation and extinction through global population dynamics database

Bhowmick, Amiya Ranjan; Saha, Bapi; Chattopadhyay, Joydev; Ray, Santanu; Bhattacharya, Sabyasachi

doi:10.1016/j.ecolmodel.2015.05.023

Cited by 24 publications

(12 citation statements)

References 61 publications

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“…One should opt for the grid search process to choose the initial guess to avoid the divergence of the least square technique. Several authors used the concept of grid search in their articles for the estimation purpose [9] , [59] .…”

Section: Resultsmentioning

confidence: 99%

“…Bhowmick et al. (2015) [9] mentioned that the grid estimates may sometimes produce bias and may not be consistent with the corresponding growth equations. To get the more precise estimates of

we perform the bootstrap linear regression method of RGR on

and

where the parameter

is substituted by that grid estimate

.…”

Section: Resultsmentioning

confidence: 99%

“…The study of size-RGR relationship become popular in many ecological and agricultural studies [9] , [37] , [44] , [61] . In these studies, the authors used the empirical estimate of RGR, which is given by

for a time interval

[22] .…”

Section: Why Population Dynamics? - Advantages Of the Relative Growthmentioning

confidence: 99%

See 2 more Smart Citations

COVID-19 pandemic models revisited with a new proposal: Plenty of epidemiological models outcast the simple population dynamics solution

Paul

Reja

Kundu

et al. 2021

Chaos, Solitons & Fractals

Self Cite

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Section: Resultsmentioning

confidence: 99%

“…Bhowmick et al. (2015) [9] mentioned that the grid estimates may sometimes produce bias and may not be consistent with the corresponding growth equations. To get the more precise estimates of

we perform the bootstrap linear regression method of RGR on

and

where the parameter

is substituted by that grid estimate

.…”

Section: Resultsmentioning

confidence: 99%

See 1 more Smart Citation

COVID-19 pandemic models revisited with a new proposal: Plenty of epidemiological models outcast the simple population dynamics solution

Paul

Reja

Kundu

et al. 2021

Chaos, Solitons & Fractals

Self Cite

View full text Add to dashboard Cite

“…Therefore, the parameter estimation may not be significant through the nonlinear least-square method. Another well established technique for model fitting is grid-search technique 16,19,44,45 . We perform the entire grid search procedure using the following steps-1.…”

Section: Dataset and Fitting Methodologymentioning

confidence: 99%

“…The logistic model neither incorporates a density-dependent intrinsic growth rate (IGR) nor has an additional negative feedback term to separate the effect of growth-inhibiting molecules from the contact inhibition and limiting resource 12,14,15 . A few cooperation models have a density-dependent IGR, but the negative feedback term is absent in those growth laws 16 . On the other hand, the well-established harvesting model describes the additional negative feedback term but lacks a parametric representation of cooperation, or density-dependent IGR to describe such cell proliferation 17 .…”

Section: Introductionmentioning

confidence: 99%

A noble extended stochastic logistic model for cell proliferation with density-dependent parameters

Roy

Ghosh

Saha³

et al. 2021

Preprint

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Cell proliferation often experiences a density-dependent intrinsic proliferation rate (IPR) and negative feedback from growth-inhibiting molecules in culture media. The lack of flexible models with explanatory parameters fails to capture such a proliferation mechanism. We propose an extended logistic growth law with the density-dependent IPR and additional negative feedback. The extended parameters of the proposed model can be interpreted as density-dependent cell-cell cooperation and negative feedback on cell proliferation. Moreover, we incorporate further density regulation for flexibility in the model through environmental resistance on cells. The proposed growth law has similarities with the strong Allee model and harvesting phenomenon. We also develop the stochastic analog of the deterministic model by representing possible heterogeneity in growth-inhibiting molecules and environmental perturbation of the culture setup as correlated multiplicative and additive noises. The model provides a maximum sustainable stable cell density (MSSCD) and a new fitness measure for proliferative cells. The proposed model shows superiority to the logistic law after fitting to real cell culture datasets. We illustrate both MSSCD and the new cell fitness for a range of parameters. The cell density distributions reveal the chance of overproliferation, underproliferation, or decay for different parameter sets under the deterministic and stochastic setups.

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Driving forces behind the fluctuating growth of the number of successful nests in an inland population of white‐tailed eagles in Hokkaido, Japan

et al. 2022

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This study aimed to describe the change in the number of successful nests of the white-tailed eagle, Haliaeetus albicilla, for 25 years along the Teshio River (100 km), Japan, which is a new habitat for this endangered species and identify factors driving the number of nests. The number of nests grew from two to nine. The logistic function fitted in well with the growth, and the capacity of the study area sustaining the successful nests was estimated at 6.5. The precipitation in January and April explained the deviation of the observed values from the model prediction. In particular, heavy rain in April was associated with low numbers. Forty-six nest remains were collected from 17 nest locations. Twelve genera of birds, six genera of mammals, and four

show abstract

Cooperation in species: Interplay of population regulation and extinction through global population dynamics database

Cited by 24 publications

References 61 publications

COVID-19 pandemic models revisited with a new proposal: Plenty of epidemiological models outcast the simple population dynamics solution

COVID-19 pandemic models revisited with a new proposal: Plenty of epidemiological models outcast the simple population dynamics solution

A noble extended stochastic logistic model for cell proliferation with density-dependent parameters

Driving forces behind the fluctuating growth of the number of successful nests in an inland population of white‐tailed eagles in Hokkaido, Japan

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