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Garay J, Gámez M, Solano-Rojas Y, López I, Castaño-Fernández AB, Varga Z, Móri TF, Csiszár V, Cabello T. Filial cannibalism of Nabis pseudoferus is not evolutionarily optimal foraging strategy. Sci Rep 2024; 14:9022. [PMID: 38641646 PMCID: PMC11031581 DOI: 10.1038/s41598-024-59574-7] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Grants] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 01/25/2024] [Accepted: 04/12/2024] [Indexed: 04/21/2024] Open
Abstract
Using a recursion model with real parameters of Nabis pseudoferus, we show that its filial cannibalism is an optimal foraging strategy for life reproductive success, but it is not an evolutionarily optimal foraging strategy, since it cannot maximize the descendant's number at the end of the reproductive season. Cannibalism is evolutionarily rational, when the number of newborn offspring produced from the cannibalized offspring can compensate the following two effects: (a) The cannibalistic lineage wastes time, since the individuals hatched from eggs produced by cannibalism start to reproduce later. (b) Cannibalism eliminates not only one offspring, but also all potential descendants from the cannibalized offspring during the rest of reproductive season. In our laboratory trials, from conspecific prey Nabis pseudoferus did not produce newborn nymphs enough to compensate the above two effects.
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Affiliation(s)
- József Garay
- HUN-REN Centre for Ecological Research, Institute of Evolution, Konkoly-Thege M. út 29-33, 1121, Budapest, Hungary
| | - Manuel Gámez
- Research Centre for Mediterranean Intensive Agrosystems and Agrifood Biotechnology (CIAMBITAL), Agrifood Campus of International Excellence (CEIA3), University of Almeria, Ctra. de Sacramento S/N, La Cañada de San Urbano, 04120, Almería, Spain
| | - Yohan Solano-Rojas
- Research Centre for Mediterranean Intensive Agrosystems and Agrifood Biotechnology (CIAMBITAL), Agrifood Campus of International Excellence (CEIA3), University of Almeria, Ctra. de Sacramento S/N, La Cañada de San Urbano, 04120, Almería, Spain
| | - Inmaculada López
- Department of Mathematics, University of Almería, Ctra. de Sacramento S/N, La Cañada de San Urbano, 04120, Almería, Spain.
| | - Ana Belén Castaño-Fernández
- Department of Mathematics, University of Almería, Ctra. de Sacramento S/N, La Cañada de San Urbano, 04120, Almería, Spain
| | - Zoltán Varga
- Department of Mathematics and Modelling, Institute of Mathematics and Basic Science, Hungarian University of Agriculture and Life Sciences, Páter K. u. 1, Gödöllő, 2100, Hungary
| | - Tamás F Móri
- HUN-REN Alfréd Rényi Institute of Mathematics, Reáltanoda u. 13-15, Budapest, 1085, Hungary
| | - Villő Csiszár
- Department of Probability Theory and Statistics, Eötvös Loránd University, Pázmány Péter s. 1/C, Budapest, 1117, Hungary
| | - Tomás Cabello
- Research Centre for Mediterranean Intensive Agrosystems and Agrifood Biotechnology (CIAMBITAL), Agrifood Campus of International Excellence (CEIA3), University of Almeria, Ctra. de Sacramento S/N, La Cañada de San Urbano, 04120, Almería, Spain
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Broom M, Erovenko IV, Rowell JT, Rychtář J. Models and measures of animal aggregation and dispersal. J Theor Biol 2020; 484:110002. [PMID: 31513801 DOI: 10.1016/j.jtbi.2019.110002] [Citation(s) in RCA: 4] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 06/12/2019] [Revised: 09/03/2019] [Accepted: 09/06/2019] [Indexed: 11/28/2022]
Abstract
The dispersal of individuals within an animal population will depend upon local properties intrinsic to the environment that differentiate superior from inferior regions as well as properties of the population. Competing concerns can either draw conspecifics together in aggregation, such as collective defence against predators, or promote dispersal that minimizes local densities, for instance to reduce competition for food. In this paper we consider a range of models of non-independent movement. We include established models, such as the ideal free distribution, but also develop novel models, such as the wheel. We also develop several ways to combine different models to create a flexible model of addressing a variety of dispersal mechanisms. We further devise novel measures of movement coordination and show how to generate a population movement that achieves appropriate values of the measure specified. We find the value of these measures for each of the core models described, as well as discuss their use, and potential limitations, in discerning the underlying movement mechanisms. The movement framework that we develop is both of interest as a stand-alone process to explore movement, but also able to generate a variety of movement patterns that can be embedded into wider evolutionary models where movement is not the only consideration.
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Affiliation(s)
- Mark Broom
- Department of Mathematics, City, University of London, Northampton Square, London, EC1V 0HB, UK
| | - Igor V Erovenko
- Department of Mathematics and Statistics, The University of North Carolina at Greensboro, Greensboro, NC 27402, USA
| | - Jonathan T Rowell
- Department of Mathematics and Statistics, The University of North Carolina at Greensboro, Greensboro, NC 27402, USA
| | - Jan Rychtář
- Department of Mathematics and Applied Mathematics, Virginia Commonwealth University, Richmond, VA 23284-2014, USA.
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Garay J. Technical review on derivation methods for behavior dependent functional responses. COMMUNITY ECOL 2019. [DOI: 10.1556/168.2019.20.1.4] [Citation(s) in RCA: 4] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/19/2022]
Affiliation(s)
- J. Garay
- MTA Centre for Ecological Research, Evolutionary Systems Research Group, Klebelsberg Kunó u. 3, H-8237 Tihany, Hungary and
- MTA-ELTE Research Group in Theoretical Biology and Evolutionary Ecology and Department of Plant Systematics, Ecology and Theoretical Biology, ELTE Eötvös Loránd University, Pázmány Péter sétány1/c, H-1117 Budapest, Hungary. Phone: , Fax:
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Garay J, Varga Z, Móri TF, López I, Gámez M, Gallego JR, Cabello T. Opportunistic random searcher versus intentional search image user. Sci Rep 2018; 8:3336. [PMID: 29463915 PMCID: PMC5820282 DOI: 10.1038/s41598-018-21563-y] [Citation(s) in RCA: 4] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 09/26/2017] [Accepted: 02/06/2018] [Indexed: 11/30/2022] Open
Abstract
We consider two types of optimal foragers: a random searcher and a search image user. A search image user can find its desired prey with higher and undesired prey with lower probability than a random searcher. Our model considers the density-dependent travelling time and the time duration of reproduction (oviposition). In the framework of optimal foraging theory for one predator-two prey systems, we find that there are ranges of prey densities in which the search image user has a higher net energy intake, and there are other ranges of prey densities in which the random searcher has higher net energy intake. The damsel bug Nabis pseudoferus Remane (Hemiptera: Nabidae) is a generalist predator rather than an omnivore. This species has a wide range of arthropod prey (predominantly insects and mites). Several aspects of the biology of this species have been studied, especially its cannibalistic behaviour, which is a quite important feature because N. pseudoferus is often used as a biological control agent against lepidopteran pests in greenhouse crops. Experimentally, we found that Nabis is a search image user in the above sense.
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Affiliation(s)
- József Garay
- MTA-ELTE Theoretical Biology and Evolutionary Ecology Research Group and Department of Plant Systematics, Ecology and Theoretical Biology, Eötvös Loránd University, Pázmány Péter sétány1/c, H-1117, Budapest, Hungary.
- MTA Centre for Ecological Research, Evolutionary Systems Research Group., Klebelsberg Kuno utca 3, Tihany, 8237, Hungary.
| | - Zoltán Varga
- Department of Mathematics, Szent István University, Páter K. u. 1.H-2103, Gödöllő, Hungary
| | - Tamás F Móri
- Department of Probability Theory and Statistics, L. Eötvös University, Pázmány Péter sétány1/c, H-1117, Budapest, Hungary
| | - Inmaculada López
- Department of Mathematics, University of Almería. La Cañada de San Urbano, 04120, Almería, Spain
| | - Manuel Gámez
- Center for Agribusiness Biotechnology Research, Almería University, Ctra. Sacramento s/n, ES-04120, Almería, Spain
| | - Juan R Gallego
- Center for Agribusiness Biotechnology Research, Almería University, Ctra. Sacramento s/n, ES-04120, Almería, Spain
| | - Tomás Cabello
- Center for Agribusiness Biotechnology Research, Almería University, Ctra. Sacramento s/n, ES-04120, Almería, Spain
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Voluntary vaccination strategy and the spread of sexually transmitted diseases. Math Biosci 2016; 274:94-107. [PMID: 26877073 DOI: 10.1016/j.mbs.2016.02.004] [Citation(s) in RCA: 8] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 04/12/2015] [Revised: 12/09/2015] [Accepted: 02/04/2016] [Indexed: 11/23/2022]
Abstract
In this work, we investigate the spread and control of sexually transmitted diseases when a game-theory based vaccination strategy is involved. An individual's decision on vaccination uptake may follow a cost-benefit analysis since the individual obtains immunity against the disease from the vaccination and, at the same time, may have some perceived side effects. Evolutionary game theory is integrated into the epidemic model to reveal the relationship between individuals' voluntary decisions on vaccination uptake and the spread and control of such diseases. We show that decreasing the perceived cost of taking vaccine or increasing the payoff from social obligation is beneficial to controlling the disease. It is also shown how the "degree of rationality" of males and females affects the disease spread through the net payoff of the game. In particular, individual awareness of the consequences of the disease on the infectives also contributes to slowing down the disease spread. By analyzing an asymmetric version of our evolutionary game, it is shown that the disease is better controlled when individuals are more sensitive to fitness differences when net payoff is positive than when it is negative.
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Garay J, Cressman R, Xu F, Varga Z, Cabello T. Optimal Forager against Ideal Free Distributed Prey. Am Nat 2015; 186:111-22. [PMID: 26098343 DOI: 10.1086/681638] [Citation(s) in RCA: 8] [Impact Index Per Article: 0.9] [Reference Citation Analysis] [MESH Headings] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/03/2022]
Affiliation(s)
- József Garay
- Hungarian Academy of Sciences-Eötvös University (MTA-ELTE) Theoretical Biology and Evolutionary Ecology Research Group; and Department of Plant Systematics, Ecology and Theoretical Biology, Eötvös University, Pázmány Péter sétány 1/c, H-1117 Budapest, Hungary
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Game-theoretic methods for functional response and optimal foraging behavior. PLoS One 2014; 9:e88773. [PMID: 24586390 PMCID: PMC3938838 DOI: 10.1371/journal.pone.0088773] [Citation(s) in RCA: 18] [Impact Index Per Article: 1.8] [Reference Citation Analysis] [Abstract] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 06/07/2013] [Accepted: 01/16/2014] [Indexed: 11/19/2022] Open
Abstract
We develop a decision tree based game-theoretical approach for constructing functional responses in multi-prey/multi-patch environments and for finding the corresponding optimal foraging strategies. Decision trees provide a way to describe details of predator foraging behavior, based on the predator's sequence of choices at different decision points, that facilitates writing down the corresponding functional response. It is shown that the optimal foraging behavior that maximizes predator energy intake per unit time is a Nash equilibrium of the underlying optimal foraging game. We apply these game-theoretical methods to three scenarios: the classical diet choice model with two types of prey and sequential prey encounters, the diet choice model with simultaneous prey encounters, and a model in which the predator requires a positive recognition time to identify the type of prey encountered. For both diet choice models, it is shown that every Nash equilibrium yields optimal foraging behavior. Although suboptimal Nash equilibrium outcomes may exist when prey recognition time is included, only optimal foraging behavior is stable under evolutionary learning processes.
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Disease control through voluntary vaccination decisions based on the smoothed best response. COMPUTATIONAL AND MATHEMATICAL METHODS IN MEDICINE 2014; 2014:825734. [PMID: 24693329 PMCID: PMC3947699 DOI: 10.1155/2014/825734] [Citation(s) in RCA: 9] [Impact Index Per Article: 0.9] [Reference Citation Analysis] [Abstract] [Track Full Text] [Download PDF] [Figures] [Subscribe] [Scholar Register] [Received: 07/18/2013] [Accepted: 12/16/2013] [Indexed: 11/18/2022]
Abstract
We investigate game-theory based decisions on vaccination uptake and its effects on the spread of an epidemic with nonlinear incidence rate. It is assumed that each individual's decision approximates his/her best response (called smoothed best response) in that this person chooses to take the vaccine based on its cost-benefit analysis. The basic reproduction number of the resultant epidemic model is calculated and used to characterize the existence and stability of the disease-free and endemic equilibria of the model. The effects on the spread and control of the epidemic are revealed in terms of the sensitivity of the response to changes in costs and benefits, in the “cost” of the vaccination, and in the proportion of susceptible individuals who are faced with the decision of whether or not to be vaccinated per unit time. The effects of the best response decision rule are also analyzed and compared to those of the smoothed best response. Our study shows that, when there is a perceived cost to take the vaccine, the smoothed best response is more effective in controlling the epidemic. However, when this cost is 0, the best response is the more efficient control.
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Optimal nutrient foraging strategy of an omnivore: Liebig's law determining numerical response. J Theor Biol 2012; 310:31-42. [PMID: 22750633 DOI: 10.1016/j.jtbi.2012.06.021] [Citation(s) in RCA: 9] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 05/05/2012] [Revised: 06/14/2012] [Accepted: 06/15/2012] [Indexed: 11/24/2022]
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Matsinos Y, Wolff W, Moustakas A. Adapting foraging to habitat heterogeneity and climate change: an individual-based model for wading birds. ETHOL ECOL EVOL 2012. [DOI: 10.1080/03949370.2011.601762] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/14/2022]
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Garay J, Varga Z. Survivor’s dilemma: Defend the group or flee? Theor Popul Biol 2011; 80:217-25. [DOI: 10.1016/j.tpb.2011.08.003] [Citation(s) in RCA: 7] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 03/03/2011] [Revised: 07/10/2011] [Accepted: 08/10/2011] [Indexed: 11/29/2022]
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