Bayesian Population Dynamics of Spreading Species

Dragicevic, Arnaud

doi:10.1007/s10666-014-9416-4

Cited by 9 publications

(2 citation statements)

References 40 publications

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“…One could include more players, different dynamic rules, and more variants of the delayed quantities. In addition, the Bayesian methodology is used in population dynamics to assess the survival probabilities of competing species (Dragicevic, 2015) [30] or, in general, to find the probability of the occurence of certain properties among the players. For the same issues, artificial neural networks could be an alternative approach (Poulton, 2001;Swingler, 1996) [31,32].…”

Section: Discussionmentioning

confidence: 99%

On a Special Two-Person Dynamic Game

Matsumoto,

Szidarovszky,

Hamidi

2023

Games

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The asymptotical properties of a special dynamic two-person game are examined under best-response dynamics in both discrete and continuos time scales. The direction of strategy changes by the players depend on the best responses to the strategies of the competitors and on their own strategies. Conditions are given first for the local asymptotical stability of the equilibrium if instantaneous data are available to the players concerning all current strategies. Next, it is assumed that only delayed information is available about one or more strategies. In the discrete case, the presence of delays has an effect on only the order of the governing difference equations. Under continuous scales, several possibilities are considered: each player has a delay in the strategy of its competitor; player 1 has identical delays in both strategies; the players have identical delays in their own strategies; player 1 has different delays in both strategies; and the players have different delays in their own strategies. In all cases, it is assumed that the equilibrium is asymptotically stable without delays, and we examine how delays can make the equilibrium unstable. For small delays, the stability is preserved. In the cases of one-delay models, the critical value of the delay is determined when stability changes to instability. In the cases of two and three delays, the stability-switching curves are determined in the two-dimensional space of the delays, where stability becomes lost if the delay pair crosses this curve. The methodology is different for the one-, two-, and three-delay cases outlined in this paper.

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Section: Discussionmentioning

confidence: 99%

On a Special Two-Person Dynamic Game

Matsumoto,

Szidarovszky,

Hamidi

2023

Games

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“…Birds are mainly cuckoos, woodpeckers, great tit, and so on. In addition, another approach is to cultivate plants that possess natural resistance to invasive species without necessarily being their natural enemies (Dragicevic, 2015). Biological control has a certain effect on pest control and is economical (Janssen and Rijn, 2021).…”

Section: Problem Descriptionmentioning

confidence: 99%

Pesticide control, physical control, or biological control? How to manage forest pests and diseases more effectively

2023

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The frequent occurrence of forest diseases and insect pests has a significant impact on the forest ecosystem. The government needs to take measures to protect the forest ecosystem. The common management modes for forest pests and diseases include pesticide control, physical control, and biological control. In the process of governance, governments need to consider not only cost-effectiveness but also the impact on the ecosystem. In this article, the differential game model under these three modes is constructed, and the equilibrium results are compared and analyzed. Finally, the research conclusion is drawn that under the biological control mode, the income generated by the unit control quantity is inversely proportional to the balanced control quantity. However, under pesticide control and physical control modes, the revenue generated by the unit control quantity is proportional to the balanced control quantity. At the same time, under the biological control mode, the unit governance cost is proportional to the balanced control quantity. Under the pesticide control and physical control modes, the unit control cost is inversely proportional to the balanced control quantity. Social forces tend to adopt pesticide control. The government prefers physical control.

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Achieving sustainability through reform propagation in weighted socio-ecological multiplex systems

Dragicevic,

Shogren

2024

Environ Syst Decis

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Bayesian Population Dynamics of Spreading Species

Cited by 9 publications

References 40 publications

On a Special Two-Person Dynamic Game

On a Special Two-Person Dynamic Game

Pesticide control, physical control, or biological control? How to manage forest pests and diseases more effectively

Achieving sustainability through reform propagation in weighted socio-ecological multiplex systems

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