Topic
Trophic function
About: Trophic function is a research topic. Over the lifetime, 306 publications have been published within this topic receiving 14288 citations.
Papers published on a yearly basis
Papers
TL;DR: A Leslie-Gower prey-predator model incorporating partial prey protection is proposed and it is shown that the effects of strong prey becoming weak prey has no influence on the persistent property of the system and can enhance the co-existence of the prey-Predator.
TL;DR: In this article, the uniqueness of a limit cycle for a predator-prey system is proved in the absence of predation, where the prey regenerates by logistic growth and the predator feeds on the harvested food.
Abstract: The uniqueness of a limit cycle for a predator-prey system is proved in this paper. We assume that in the absence of predation the prey regenerates by logistic growth and the predator feeds on the ...
TL;DR: For a broad class of maturation functions positive equilibria are either unstable for smallm or are destabilized asm decreases to zero, in contrast to the usual rule of thumb that increasing (not decreasing) delays in growth rate responses cause instabilities.
Abstract: A general predator-prey model is considered in which the predator population is assumed to have an age structure which significantly affects its fecundity. The model equations are derived from the general McKendrick equations for age structured populations. The existence, stability and destabilization of equilibria are studied as they depend on the prey's natural carrying capacity and the maturation periodm of the predator. The main result of the paper is that for a broad class of maturation functions positive equilibria are either unstable for smallm or are destabilized asm decreases to zero. This is in contrast to the usual rule of thumb that increasing (not decreasing) delays in growth rate responses cause instabilities.
10 Jul 2017
TL;DR: The interaction between prey, secondary predator, and primary predator as a mathematical model of the one-prey and two-predator system with constant harvesting in prey population is introduced and it is found that as long as harvesting rate in predator population is smaller than prey intrinsic growth rate, coexistence might achieve.
Abstract: The interaction between prey, secondary predator, and primary predator as a mathematical model of the one-prey and two-predator system with constant harvesting in prey population will be introduced in this article. Their interaction might describe as a food pyramid, with the preys is in the lowest level of the pyramid, secondary predators in the middle, and primary predators in the top of the pyramid. Human intervention to controlling prey population is needed and will be analyzed how this will effect on the existence of secondary predator and primary predator population. Equilibrium points and their existence criteria will be analyzed to find a threshold that will guarantee the coexistence of this system. Some numerical simulation will be given to illustrate the analytical results. We find that as long as harvesting rate in prey population is smaller than prey intrinsic growth rate, coexistence might achieve.
TL;DR: In this article, a Gauss type general prey-predator mathematical model is proposed and analyzed to study the effect of predation on two competing prey species, the growth rate and functional responses are taken to be general non-linear functions.
Related Topics (5)
Performance Metrics
| Year | Papers |
|---|---|
| 2021 | 1 |
| 2020 | 2 |
| 2018 | 2 |
| 2017 | 20 |
| 2016 | 14 |
| 2015 | 18 |