Influence of gestation delay and the role of additional food in holling type III predator–prey systems: a qualitative and quantitative investigation
| Autor: | D. K. K. Vamsi, Bishal Chhetri, Deva Siva Sai Murari Kanumoori |
|---|---|
| Rok vydání: | 2020 |
| Předmět: |
0301 basic medicine
Population size Reproductive strategy Model parameters Biology 01 natural sciences Odds Predation 010101 applied mathematics 03 medical and health sciences 030104 developmental biology Habitat Statistics Gestation 0101 mathematics Computers in Earth Sciences Statistics Probability and Uncertainty General Agricultural and Biological Sciences Predator General Environmental Science |
| Zdroj: | Modeling Earth Systems and Environment. 7:897-915 |
| ISSN: | 2363-6211 2363-6203 |
| DOI: | 10.1007/s40808-020-01042-y |
| Popis: | Some species of mammals such as bears, seals, pine martin, etc., exhibit gestation delay i.e, delaying in implantation of the embryos when the surrounding is not in good condition for bearing and rearing the offspring. This enigmatic reproductive strategy can help improve the odds of survival. In this paper, we do a mathematical study of such a scenario where the Holling type III predator shows gestation delay upon consumption of the prey. To conserve the system, we provide additional food to the predator in various qualities and quantities. Taking time delay (gestation delay) as the bifurcation parameter, we then analyze the stability of the system at the equilibrium points. It is observed that the fluctuations of the population size can be reduced with the supply of a high quantity of additional food or by increasing the strength of habitat complexity. Sensitivity analysis of the model parameters helps in identifying the crucial parameters that help in the conservation of the system. Our results indicate the possibility of the conservation of prey (/system) upon the provision of additional food to the predator. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
|
Full text from SpringerLink