Maximum sustainable yield and species survival: Insights from effects of prey harvest saturation on dynamic predator–prey models

2021 ◽  
Vol 461 ◽  
pp. 109764
Author(s):  
Michel Iskin da S. Costa ◽  
Lucas dos Anjos
Keyword(s):  
Maximum Sustainable Yield ◽  
Sustainable Yield ◽  
Predator Prey ◽  
Species Survival ◽  
Predator Prey Models

Community Effects of Fishing

2019 ◽  
pp. 200-214
Author(s):  
Ken H. Andersen
Keyword(s):  
Trophic Cascades ◽  
Maximum Sustainable Yield ◽  
Sustainable Yield ◽  
Community Effects ◽  
Predator Prey ◽  
Community Model ◽  
Trade Offs ◽  
Large Predators

This chapter uses the community model to repeat many of the classic impact calculations of a single stock on the entire community. Here, a focus is the appearance of trophic cascades initiated by the removal of large predators. When a component of an ecosystem is perturbed, the effects are not isolated to the component itself but cascade through the ecosystem. Perturbations are mainly propagated through the predator–prey interactions. The chapter also considers the trade-offs between a forage fishery and a consumer fishery, and the extension of the maximum sustainable yield (MSY) concept to the community, before finally returning to the single-stock aspects.

Effects of predator–prey interactions and adaptive change on sustainable yield

2004 ◽  
Vol 61 (2) ◽  
pp. 175-184 ◽  
Author(s):  
Hiroyuki Matsuda ◽  
Peter A Abrams
Keyword(s):  
Feedback Control ◽  
Population Size ◽  
Single Species ◽  
Fishing Effort ◽  
Maximum Sustainable Yield ◽  
Adaptive Change ◽  
Sustainable Yield ◽  
Predator Species ◽  
Predator Prey ◽  
Predator Abundance

We explore the effects on population size and yield of different levels of harvesting of a predator in a predator–prey system. We consider the consequences of adaptive change in the predator's foraging time (or effort) and feedback control of fishing effort. The predator may increase in population size with increasing fishing effort, either when the prey is characterized by a positive effect of its own population size on its own growth rate or when the prey is overexploited by the predator. The predator abundance at which the sustainable yield is maximized can be larger than the abundance without fishing. The effort that achieves maximum sustainable yield and the effort that maximizes predator abundance can both be close to the effort at which the stock collapses. Feedback control in the response to predator abundance may fail to achieve the desired abundance of the target stock or its prey even if the fishing effort is well controlled. These results suggest that developing policies for exploiting adaptive predator species in potentially cycling systems cannot be based on the stable single-species models often used in fisheries management.

scholarly journals Impacts of predator–prey interaction on managing maximum sustainable yield and resilience

2020 ◽  
Vol 25 (3) ◽  
Author(s):  
Kanisha Pujaru ◽  
Tapan Kumar Kar
Keyword(s):  
Maximum Sustainable Yield ◽  
Trophic Levels ◽  
Generalist Predator ◽  
Sustainable Yield ◽  
Ecological Services ◽  
Predator Species ◽  
Predator Prey ◽  
Prey Interaction ◽  
System Resilience ◽  
Broad Outline

This paper gives a broad outline of some comparative analysis of two ecological services, namely, yield and resilience of a generalist predator–prey system. Although either prey or predator species can be harvested at maximum sustainable yield (MSY) level, yet there is a trade-off between yield and resilience. When both the species are harvested simultaneously, MSY increase by changing catchabilities always increases the system resilience both in prey- and predator-oriented fishery. In particular, a prey-oriented fishery with low prey catchability gives more yield and resilience but in case of predator-oriented fishery with high predator catchability, gives more of these ecological services. Thus to get both the optimum yield and resilience, a balanced harvesting approach is needed between the prey and predator trophic levels. Throughout the analysis, we use both the analytical as well as numerical techniques.  

scholarly journals Mathematical study on a dynamical predator-prey model with constant prey harvesting and proportional harvesting in predator

2021 ◽  
Author(s):  
Md Golam Mortuja ◽  
Mithilesh Kumar Chaube ◽  
Santosh Kumar
Keyword(s):  
Handling Time ◽  
Maximum Sustainable Yield ◽  
Prey Population ◽  
Sustainable Yield ◽  
Mathematical Study ◽  
Predator Prey ◽  
Interior Equilibrium ◽  
Predator Prey Model ◽  
Prey Model ◽  
Herd Behaviour

Abstract A dynamical predator-prey model with constant prey harvesting, proportional harvesting in predator has been studied. The square root func- tional response also has been incorporated in the system to describe the prey herd behaviour, assuming the average handling time is zero. The existence and the local stability of equilibria of the system have been discussed. It is examined that, two types of bifurcation occur in the system. The two types of bifurcations have been analyzed, and it has been found by analyzing the saddle-node bifurcation that, there is a maximum sustainable yield. It is ob- served that if harvesting rate is greater than the maximum sustainable yield, the prey population abolish from the system and then extinction of the preda- tor population happen. But if harvesting rate is lesser than the maximum sustainable yield, the extinction of the prey population can not be possible. By analyzing the Hopf bifurcation, it is obtained that, there exists an unstable limit cycle around the interior equilibrium point. Several numerical simulations are performed to check the results.

Stability and Bifurcation Analysis in a Predator–Prey System with Constant Harvesting and Prey Group Defense

2017 ◽  
Vol 27 (11) ◽  
pp. 1750179 ◽  
Author(s):  
Jianfeng Luo ◽  
Yi Zhao
Keyword(s):  
Hopf Bifurcation ◽  
Maximum Sustainable Yield ◽  
Sustainable Yield ◽  
Defensive Strategy ◽  
Predator Prey ◽  
Interior Equilibrium ◽  
Prey System ◽  
Constant Rate ◽  
The Given ◽  
Existence Of Equilibria

In this paper, we study a predator–prey system that the prey population gathers in herds to defend its predator and both are harvested by constant rate. The defensive strategy of the gathered prey makes the individuals at the border of the herd mostly suffer from the attacks of the predators. This behavior can be described by a modified Holling-type II functional response in mathematics. Notably, we consider harvesting under two cases: prey harvesting only and predator harvesting only. We investigate the existence of equilibria for both cases, and then find there exists the maximum sustainable yield for two cases to guarantee predator and prey to coexist. Moreover, both species can coexist under some conditions and initial values through investigation of stability of the interior equilibrium in the given system. These results demonstrate that, when hunting the prey or predator for economic interest, harvesting rate must be chosen at a suitable value (not merely less than the maximum sustainable yield) to maintain the coexistence of the predator and prey as well as ecological balance. Finally, we analyze the saddle-node bifurcation and Hopf bifurcation, and determine the direction of Hopf bifurcation by calculating the first Lyapunov number for both cases. In particular, Bogdanov–Takens bifurcation occurs only in the given system with predator harvesting.

The global dynamics of stochastic Holling type II predator-prey models with non constant mortality rate

Filomat ◽  
2017 ◽  
Vol 31 (18) ◽  
pp. 5811-5825
Author(s):  
Xinhong Zhang
Keyword(s):  
Mortality Rate ◽  
Stochastic Model ◽  
Sufficient Conditions ◽  
Positive Periodic Solution ◽  
Global Dynamics ◽  
Type Ii ◽  
Predator Prey ◽  
Persistence In The Mean ◽  
The Mean ◽  
Predator Prey Models

In this paper we study the global dynamics of stochastic predator-prey models with non constant mortality rate and Holling type II response. Concretely, we establish sufficient conditions for the extinction and persistence in the mean of autonomous stochastic model and obtain a critical value between them. Then by constructing appropriate Lyapunov functions, we prove that there is a nontrivial positive periodic solution to the non-autonomous stochastic model. Finally, numerical examples are introduced to illustrate the results developed.

Plugging Space into Predator-Prey Models: An Empirical Approach

2006 ◽  
Vol 167 (2) ◽  
pp. 246
Author(s):  
Bergström ◽  
Englund ◽  
Leonardsson
Keyword(s):  
Empirical Approach ◽  
Predator Prey ◽  
Predator Prey Models
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