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Mechanistically derived Toxicant-mediated predator-prey model under Stoichiometric constraints
- Source :
- Mathematical Biosciences and Engineering, Vol 17, Iss 1, Pp 349-365 (2020)
- Publication Year :
- 2020
- Publisher :
- American Institute of Mathematical Sciences (AIMS), 2020.
-
Abstract
- Studies in ecological stoichiometry highlight that grazer dynamics are affected by insufficient food nutrient content (low phosphorus (P)/carbon (C) ratio) as well as excess food nutrient content (high P:C). Contaminant stressors affect all levels of the biological hierarchy, from cells to organs to organisms to populations to entire ecosystems. Eco-toxicological modeling under the framework of ecological stoichiometry predicts the risk of bio-accumulation of a toxicant under stoichiometric constraints. In this paper, we developed and analyzed a Lotka-Volterra type predator- prey model which explicitly tracks the environmental toxicant as well as the toxicant in the populations under stoichiometric constraints. Analytic, numerical, slow-fast steady state and bifurcation theory are employed to predict the risk of toxicant bio-accumulation under varying food conditions. In some cases, our model predicts different population dynamics, including wide amplitude limit cycles where producer densities exhibit very low values and may be in danger of stochastic extinction.
- Subjects :
- predator–prey model
Food Chain
Population Dynamics
Population
02 engineering and technology
ecotoxicology
Predation
chemistry.chemical_compound
0502 economics and business
Ecological stoichiometry
QA1-939
0202 electrical engineering, electronic engineering, information engineering
Animals
Ecotoxicology
Computer Simulation
Ecosystem
education
Stochastic Processes
ecological stoichiometry
education.field_of_study
Extinction threshold
Ecology
Chemistry
Applied Mathematics
05 social sciences
Phosphorus
General Medicine
Models, Theoretical
Carbon
Computational Mathematics
Daphnia
Predatory Behavior
Modeling and Simulation
020201 artificial intelligence & image processing
Steady state (chemistry)
General Agricultural and Biological Sciences
Biological system
TP248.13-248.65
Mathematics
050203 business & management
Environmental Monitoring
Biotechnology
Toxicant
Subjects
Details
- ISSN :
- 15510018
- Volume :
- 17
- Database :
- OpenAIRE
- Journal :
- Mathematical Biosciences and Engineering
- Accession number :
- edsair.doi.dedup.....0e7dccb4d63f83b71fe3effb93219d33
- Full Text :
- https://doi.org/10.3934/mbe.2020019