A Novel Approach to Carrying Capacity: From a priori Prescription to a posteriori Derivation Based on Underlying Mechanisms and Dynamics

S Mote, J Rivas, E Kalnay - Annual Review of Earth and …, 2020 - annualreviews.org
The Human System is within the Earth System. They should be modeled bidirectionally
coupled, as they are in reality. The Human System is rapidly expanding, mostly due to …

A general ODE-based model to describe the physiological age structure of ectotherms: Description and application to Drosophila suzukii

L Rossini, NB Rosselló, S Speranza, E Garone - Ecological Modelling, 2021 - Elsevier
This paper introduces a novel general model based on Ordinary Differential Equations
(ODEs) which is able to describe the population dynamics of a large class of insect pests …

[HTML][HTML] Mathematical models for population growth with variable carrying capacity: Analytical solutions

M Rodrigo, D Zulkarnaen - AppliedMath, 2022 - mdpi.com
A general population model with variable carrying capacity consisting of a coupled system of
nonlinear ordinary differential equations is proposed, and a procedure for obtaining …

Optimal harvesting of a prey–predator model with variable carrying capacity

C Ganguli, TK Kar, PK Mondal - International Journal of …, 2017 - World Scientific
This work deals with a prey–predator model in an environment where the carrying capacities
are assumed to be variable with time and one species feeds upon the other. Independent …

Phytoplankton carrying capacity: Is this a viable concept for coastal seas?

S Sarker, KH Wiltshire - Ocean & Coastal Management, 2017 - Elsevier
Carrying capacity estimations for any population of organisms is made in order to determine
the maximum population densities that could result under set environmental conditions …

Impacts of biotic resource enrichment on a predator–prey population

HM Safuan, HS Sidhu, Z Jovanoski… - Bulletin of mathematical …, 2013 - Springer
The environmental carrying capacity is usually assumed to be fixed quantity in the classical
predator–prey population growth models. However, this assumption is not realistic as the …

Evolution of Turing patterns of a predator–prey system with variable carrying capacity and harvesting

LT Bhutia, S Biswas, E Das, TK Kar, B Bhunia - Chaos, Solitons & Fractals, 2025 - Elsevier
In the present study, we propose a modified form of the Rosenzweig–MacArthur model by
incorporating prey harvesting and variable carrying capacity. These modifications are …

A short note on analysis and application of a stochastic open-ended logistic growth model

H Yoshioka, Y Yaegashi, Y Yoshioka… - Letters in …, 2019 - lettersinbiomath.org
A minimal stochastic generalization of a deterministic open-ended logistic growth model is
proposed for efficiently describing the biological growth of individual organisms under …

Phase synchronization between culture and climate forcing

A Timmermann, A Wasay, P Raia - Proceedings B, 2024 - royalsocietypublishing.org
Over the history of humankind, cultural innovations have helped improve survival and
adaptation to environmental stress. This has led to an overall increase in human population …

A two-species predator-prey model in an environment enriched by a biotic resource

HM Safuan, HS Sidhu, Z Jovanoski… - The Proceedings of …, 2012 - journal.austms.org.au
Classical population growth models assume that the environmental carrying capacity is a
fixed parameter, which is not often realistic. We propose a modified predator-prey model …