Plant-Feeding by Arthropod Predators Contributes to the Stability of Predator-Prey Population Dynamics

Oikos ◽  
1999 ◽  
Vol 87 (3) ◽  
pp. 603 ◽  
Author(s):  
R. G. Lalonde ◽  
R. R. McGregor ◽  
D. R. Gillespie ◽  
B. D. Roitberg
Keyword(s):  
Population Dynamics ◽  
Prey Population ◽  
Predator Prey ◽  
Plant Feeding ◽  
Arthropod Predators ◽  
The Stability

scholarly journals Turing instability in two-patch predator-prey population dynamics

2018 ◽  
Vol 18 (03) ◽  
pp. 255-261
Author(s):  
Ali Al-Qahtani ◽  
Aesha Almoeed ◽  
Bayan Najmi ◽  
Shaban Aly
Keyword(s):  
Population Dynamics ◽  
Turing Instability ◽  
Prey Population ◽  
Predator Prey

A Semi-Analytical Method for Solving Problems on the Role of Prey Taxis in a Biological Control-Mathematical Model

2019 ◽  
Vol 10 (02) ◽  
pp. 1850009
Author(s):  
OPhir Nave ◽  
Yifat Baron ◽  
Manju Sharma
Keyword(s):  
Biological Control ◽  
Analytical Method ◽  
Reaction Diffusion ◽  
Prey Population ◽  
Predator Prey ◽  
Predator Prey Model ◽  
Homotopy Analysis ◽  
The Stability ◽  
Pest Density

In this paper, we applied the well-known homotopy analysis methods (HAM), which is a semi-analytical method, perturbation method, to study a reaction–diffusion–advection model for the dynamics of populations under biological control. According to the predator–prey model, the advection expression represents the predator density movement in which the acceleration is proportional to the prey density gradient. The prey population reproduces logistically, and the interactions of prey population obey the Holling’s prey-dependent Type II functional response. The predation process splits into the following subdivided processes: random movement which is represented by diffusion, direct movement which is described by prey taxis, local prey interactions, and consumptions which are represented by the trophic function. In order to ensure a successful biological control, one should make the predator-pest population to stabilize at a very low level of pest density. One reason for this effect is the intermediate taxis activity. However, when the system loses stability, for example very intensive prey taxis destroys the stability, it leads to chaotic dynamics with pronounced outbreaks of pest density.

Hair cortisol as a reliable indicator of stress physiology in the snowshoe hare: Influence of body region, sex, season, and predator–prey population dynamics

2020 ◽  
Vol 294 ◽  
pp. 113471
Author(s):  
Sophia G. Lavergne ◽  
Michael J.L. Peers ◽  
Gabriela Mastromonaco ◽  
Yasmine N. Majchrzak ◽  
Anandu Nair ◽  
...  
Keyword(s):  
Population Dynamics ◽  
Stress Physiology ◽  
Prey Population ◽  
Reliable Indicator ◽  
Body Region ◽  
Snowshoe Hare ◽  
Hair Cortisol ◽  
Predator Prey

Shedding Light on Microbial Predator–Prey Population Dynamics Using a Quantitative Bioluminescence Assay

2013 ◽  
Vol 67 (1) ◽  
pp. 167-176 ◽  
Author(s):  
Hansol Im ◽  
Dasol Kim ◽  
Cheol-Min Ghim ◽  
Robert J. Mitchell
Keyword(s):  
Population Dynamics ◽  
Prey Population ◽  
Predator Prey ◽  
Bioluminescence Assay

scholarly journals The Study of a Predator-Prey Model with Fear Effect Based on State-Dependent Harvesting Strategy

Complexity ◽  
2022 ◽  
Vol 2022 ◽  
pp. 1-19
Author(s):  
Y. Tian ◽  
H. M. Li
Keyword(s):  
Numerical Simulation ◽  
Periodic Solution ◽  
Prey Population ◽  
Global Dynamics ◽  
Predator Population ◽  
Positive Order ◽  
Predator Prey ◽  
Predator Prey Model ◽  
State Dependent ◽  
The Stability

In presence of predator population, the prey population may significantly change their behavior. Fear for predator population enhances the survival probability of prey population, and it can greatly reduce the reproduction of prey population. In this study, we propose a predator-prey fishery model introducing the cost of fear into prey reproduction with Holling type-II functional response and prey-dependent harvesting and investigate the global dynamics of the proposed model. For the system without harvest, it is shown that the level of fear may alter the stability of the positive equilibrium, and an expression of fear critical level is characterized. For the harvest system, the existence of the semitrivial order-1 periodic solution and positive order- q ( q ≥ 1 ) periodic solution is discussed by the construction of a Poincaré map on the phase set, and the threshold conditions are given, which can not only transform state-dependent harvesting into a cycle one but also provide a possibility to determine the harvest frequency. In addition, to ensure a certain robustness of the adopted harvest policy, the threshold condition for the stability of the order- q periodic solution is given. Meanwhile, to achieve a good economic profit, an optimization problem is formulated and the optimum harvest level is obtained. Mathematical findings have been validated in numerical simulation by MATLAB. Different effects of different harvest levels and different fear levels have been demonstrated by depicting figures in numerical simulation using MATLAB.

scholarly journals PREDATOR–PREY MODEL WITH AGE STRUCTURE

2017 ◽  
Vol 59 (2) ◽  
pp. 155-166
Author(s):  
J. PROMRAK ◽  
G. C. WAKE ◽  
C. RATTANAKUL
Keyword(s):  
Population Dynamics ◽  
Predator Prey ◽  
Predator Prey Model ◽  
Green Lacewings ◽  
Cassava Plant ◽  
Age Dependent ◽  
Important Pest ◽  
Mckendrick Equation ◽  
Study Population ◽  
The Stability

Mealybug is an important pest of cassava plant in Thailand and tropical countries, leading to severe damage of crop yield. One of the most successful controls of mealybug spread is using its natural enemies such as green lacewings, where the development of mathematical models forecasting mealybug population dynamics improves implementation of biological control. In this work, the Sharpe–Lotka–McKendrick equation is extended and combined with an integro-differential equation to study population dynamics of mealybugs (prey) and released green lacewings (predator). Here, an age-dependent formula is employed for mealybug population. The solutions and the stability of the system are considered. The steady age distributions and their bifurcation diagrams are presented. Finally, the threshold of the rate of released green lacewings for mealybug extermination is investigated.

scholarly journals Landscape connectivity and predator–prey population dynamics

2010 ◽  
Vol 26 (1) ◽  
pp. 33-45 ◽  
Author(s):  
Jacopo A. Baggio ◽  
Kehinde Salau ◽  
Marco A. Janssen ◽  
Michael L. Schoon ◽  
Örjan Bodin
Keyword(s):  
Population Dynamics ◽  
Landscape Connectivity ◽  
Prey Population ◽  
Predator Prey

scholarly journals Dynamics Analysis of Modified Leslie-Gower Model with Simplified Holling Type IV Functional Response

2021 ◽  
Vol 18 (1) ◽  
pp. 12-21
Author(s):  
Nur Suci Ramadhani ◽  
Toaha Toaha ◽  
Kasbawati Kasbawati
Keyword(s):  
Population Density ◽  
Equilibrium Point ◽  
Functional Response ◽  
Prey Population ◽  
Dynamics Analysis ◽  
Predator Prey ◽  
Predator Prey Model ◽  
Type Iv ◽  
Simulation Results ◽  
The Stability

In this paper, the modified Leslie-Gower predator-prey model with simplified Holling type IV functional response is discussed. It is assumed that the prey population is a dangerous population. The equilibrium point of the model and the stability of the coexistence equilibrium point are analyzed. The simulation results show that both prey and predator populations will not become extinct as time increases. When the prey population density increases, there is a decrease in the predatory population density because the dangerous prey population has a better ability to defend itself from predators when the number is large enough.

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